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Part I Twardowski's School: The Period of Crystallization of LWS |
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Introduction. The School: Its Genesis, Development and Significance |
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3 | (1) |
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Urszula Wybraniec-Skardowska |
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1 A Short History and Influence of the School |
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4 | (9) |
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2 On the Structure and Contents of the Anthology |
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13 | (2) |
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13 | (2) |
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Kazimierz Twardowski: A Great Teacher of Great Philosophers |
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15 | (18) |
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15 | (1) |
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16 | (1) |
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17 | (1) |
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17 | (13) |
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30 | (1) |
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31 | (2) |
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Kazimierz Twardowski's Works Mentioned in the Paper |
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32 | (1) |
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Jan Lukasiewicz: A Creator of New Ideas in Logic and a Reinterpreter of Its History |
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33 | (14) |
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33 | (1) |
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34 | (1) |
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35 | (1) |
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35 | (2) |
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37 | (5) |
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42 | (2) |
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44 | (3) |
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Jan Lukasiewicz's Works Mentioned in the Paper |
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45 | (2) |
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Kazimierz Ajdukiewicz: The Cognitive Role of Language |
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47 | (18) |
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47 | (1) |
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48 | (1) |
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48 | (12) |
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4 Disciples and Continuators |
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60 | (5) |
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60 | (5) |
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On Ajdukiewicz's Project of the Semantic Theory of Knowledge |
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65 | (26) |
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66 | (4) |
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2 Presentation of the Meta-Epistemological Project of the Semantic Theory of Knowledge and Analysis Thereof |
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70 | (17) |
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87 | (4) |
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88 | (3) |
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Categorial Grammars and Their Logics |
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91 | (26) |
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91 | (2) |
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2 Basic Categorial Grammars |
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93 | (5) |
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98 | (19) |
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112 | (5) |
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Material Implication and Conversational Implicature in Lvov-Warsaw School |
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117 | (16) |
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Michal Tomasz Godziszewski |
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1 Ajdukiewicz's Equivalence Argument |
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117 | (1) |
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118 | (1) |
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3 Ajdukiewicz on Disjunction |
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119 | (2) |
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4 Ajdukiewicz vs. Quine on Assertibility |
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121 | (2) |
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123 | (1) |
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6 Ajdukiewicz on the Diagnostics of Improper Use |
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124 | (1) |
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7 Generalization, Weakening, Moore's Paradox |
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125 | (1) |
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8 Apparent Connection Between Disjuncts |
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125 | (2) |
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9 Ajdukiewicz's Diagnostics and Grice's Cancellability |
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127 | (3) |
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10 Golab on Indicative Conditionals |
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130 | (1) |
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11 Stupecki's Reply to Golab |
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131 | (1) |
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12 Ajdukiewicz's Solution and Golab's Problem |
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131 | (2) |
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132 | (1) |
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133 | (4) |
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133 | (2) |
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135 | (1) |
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135 | (1) |
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135 | (1) |
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135 | (1) |
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136 | (1) |
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136 | (1) |
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Tadeusz Czezowski's Theory of Knowledge and Beliefs |
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137 | (16) |
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137 | (1) |
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2 Modern Epistemological Individualism: Faith and Testimony in Epistemological Framework |
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138 | (3) |
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3 Methodism, Particularism and Belief-Formation Process |
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141 | (1) |
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4 What Can Justify Beliefs: Basic Beliefs, Internalism and Externalism |
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142 | (1) |
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5 Czezowski's Theory of Knowledge and Epistemological Individualism |
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143 | (4) |
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6 Czezowski's Internalism and Fallibilism |
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147 | (2) |
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7 Czezowski and Some Views on Belief-Formation Processes |
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149 | (4) |
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151 | (2) |
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153 | (12) |
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153 | (2) |
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2 The Definition of Reasoning |
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155 | (2) |
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3 The Conditions of Correctness of Reasoning |
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157 | (5) |
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162 | (3) |
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162 | (3) |
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Tadeusz Kotarbinski: Socrates of Warsaw |
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165 | (10) |
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165 | (1) |
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166 | (1) |
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166 | (4) |
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170 | (3) |
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173 | (1) |
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173 | (2) |
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Tadeusz Kotarbinski's Works Mentioned in the Paper |
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173 | (2) |
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Agency in a Praxiological Approach |
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175 | (14) |
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175 | (1) |
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2 Agency in Tadeusz Kotarbinski's Approach |
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176 | (7) |
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183 | (2) |
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185 | (4) |
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186 | (3) |
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Zygmunt Zawirski: A Creator of New Ideas in Methodology of Science and Scientific Metaphysics |
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189 | (12) |
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189 | (2) |
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191 | (1) |
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192 | (4) |
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196 | (1) |
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197 | (1) |
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197 | (4) |
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Zygmunt Zawirski's Works Mentioned in the Paper |
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198 | (3) |
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Zygmunt Zawirski's Concept of Scientific Metaphysics |
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201 | (8) |
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201 | (1) |
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2 Relation Between Science and Metaphysics |
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202 | (2) |
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3 Synthesis of Human Knowledge and Metaphysics |
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204 | (3) |
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207 | (2) |
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Stanistaw Lesniewski: Original and Uncompromising Logical Genius |
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209 | (14) |
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209 | (1) |
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210 | (1) |
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211 | (1) |
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4 Antinomies, Classes, Parts |
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212 | (1) |
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213 | (2) |
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6 Consolidation and Publication |
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215 | (1) |
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216 | (1) |
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216 | (1) |
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217 | (1) |
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10 Colleagues and Personality |
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218 | (1) |
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218 | (5) |
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Stanistaw Lesniewski's Works Mentioned in the Paper |
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219 | (4) |
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Izydora Dambska: The First Lady of the Twentieth-Century Polish Philosophy |
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223 | (12) |
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223 | (1) |
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224 | (1) |
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224 | (1) |
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4 The Lvov-Warsaw School Versus Neopositivism and Linguistic Philosophy |
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225 | (1) |
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226 | (1) |
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227 | (2) |
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229 | (2) |
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231 | (2) |
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233 | (2) |
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Izydora Dambska's Works Mentioned in the Paper |
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233 | (2) |
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Maria Kokoszynska-Lutmanowa: The Great Polemist |
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235 | (6) |
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235 | (1) |
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236 | (1) |
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237 | (2) |
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239 | (1) |
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240 | (1) |
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240 | (1) |
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Seweryna Luszczewska-Romahnowa |
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241 | (8) |
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241 | (1) |
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242 | (3) |
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245 | (1) |
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245 | (1) |
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245 | (1) |
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245 | (4) |
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246 | (3) |
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On Existential Dependence and Independence in the World of Thoughts and States of Affairs (with Reference to Eugenia Ginsberg-Blaustein's and Roman Ingarden's Analyses) |
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249 | (14) |
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249 | (2) |
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2 Ingarden's Definitions and Theorems |
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251 | (3) |
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3 Dependence in the Mental Sphere of Thoughts |
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254 | (6) |
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260 | (3) |
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261 | (2) |
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263 | (10) |
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263 | (1) |
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2 Main Research Interests |
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264 | (1) |
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265 | (4) |
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269 | (2) |
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271 | (1) |
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271 | (2) |
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J.M. Bochenski's Theory of Signs |
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273 | (6) |
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273 | (1) |
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2 Ontological Assumptions |
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273 | (1) |
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3 Psychological Assumptions |
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274 | (1) |
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4 The Concept of the Sign |
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275 | (1) |
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5 The Theory of Signs and Authority |
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276 | (1) |
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6 The Theory of Signs and `Philosophical Superstitions' |
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276 | (1) |
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277 | (2) |
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277 | (2) |
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Jan Salamucha (1903-1944) |
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279 | (6) |
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279 | (1) |
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279 | (1) |
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280 | (1) |
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281 | (1) |
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281 | (1) |
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282 | (3) |
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283 | (2) |
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Struve and Biegariski: Towards Modern Approach to Logic |
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285 | (16) |
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285 | (5) |
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290 | (5) |
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295 | (6) |
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296 | (5) |
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Part II Warsaw School of Logic, Its Main Figures and Ideas: The Period of Prosperity |
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Lukasiewicz and His Followers in Many-Valued Logic |
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301 | (28) |
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1 Lukasiewicz's Way to Many-Valuedness |
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301 | (5) |
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2 Matrix Semantics for n-Valued Logics |
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306 | (3) |
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3 Post Logics and Slupecki's Functional Completeness Programme |
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309 | (3) |
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4 Algebraic Interpretations of Lukasiewicz Logics |
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312 | (3) |
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5 In Search for Interpretation of Lukasiewicz Logics |
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315 | (5) |
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6 On Applications and Influence of Lukasiewicz Work |
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320 | (9) |
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326 | (3) |
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Tomorrow's Sea-Battle and the Beginning of Temporal Logic |
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329 | (8) |
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329 | (2) |
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331 | (2) |
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333 | (1) |
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4 Temporal Logic of Possible Worlds |
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334 | (1) |
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335 | (2) |
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336 | (1) |
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337 | (24) |
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1 How Lesniewski Came to Mereology |
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337 | (2) |
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2 Lesniewski's Understanding of Sets or Classes |
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339 | (2) |
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341 | (1) |
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341 | (3) |
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5 Remarks About This System |
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344 | (1) |
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6 Symbolic Reconstruction |
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345 | (2) |
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347 | (2) |
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8 Whitehead's Alternative Mereology |
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349 | (2) |
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9 The Polish Continuation |
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351 | (1) |
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352 | (2) |
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11 Subsequent Developments |
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354 | (4) |
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358 | (3) |
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358 | (3) |
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Alfred Tarski (1901-1983) |
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361 | (12) |
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370 | (3) |
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Some Philosophical Aspects of Semantic Theory of Truth |
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373 | (18) |
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387 | (4) |
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Tarski's Influence on Computer Science |
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391 | (14) |
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402 | (3) |
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The Absence of Multiple Universes of Discourse in the 1936 Tarski Consequence-Definition Paper |
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405 | (20) |
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406 | (4) |
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2 Corcoran's Awareness of the Issue in the 1960s and 1970s |
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410 | (3) |
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3 The Place of the Monistic-Pluralistic Distinction |
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413 | (4) |
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4 The Origin of the Modern form of the Monistic Framework |
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417 | (2) |
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419 | (6) |
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421 | (4) |
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Alfred Tarski: Auxiliary Notes on His Legacy |
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425 | (32) |
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425 | (7) |
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432 | (4) |
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3 Geometry and Measure Theory |
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436 | (3) |
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4 Decidable and Undecidable Theories |
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439 | (9) |
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5 Selected Works of Tarski |
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448 | (9) |
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Stanistaw Jaskowski: Life and Work |
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457 | (8) |
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457 | (2) |
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459 | (3) |
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462 | (3) |
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463 | (2) |
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Stanistaw Jaskowski and Natural Deduction Systems |
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465 | (20) |
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465 | (1) |
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2 Natural Deduction in General |
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466 | (2) |
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3 Jaskowski's Research on ND |
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468 | (11) |
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479 | (6) |
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483 | (2) |
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Variations on Jaskowski's Discursive Logic |
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485 | (14) |
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485 | (2) |
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2 Theme: Jaskowski's Discursive Logic D2 |
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487 | (1) |
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3 Movement: Belief Bases and Belief Structures |
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488 | (3) |
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4 Variations Part I: D4--A New Framework for Discursive Logics |
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491 | (1) |
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5 Variations Part II: Relation to Dialogue |
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492 | (1) |
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6 Variations Part III: Relation to Argumentation |
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493 | (2) |
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495 | (4) |
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496 | (3) |
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Czestaw Lejewski: Propagator of Lvov-Warsaw Ideas Abroad |
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499 | (6) |
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499 | (1) |
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500 | (1) |
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500 | (3) |
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4 Influence, Teaching, Personality |
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503 | (2) |
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Works by Czesiaw Lejewski Mentioned in the Paper |
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503 | (2) |
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Adolf Lindenbaum, Metric Spaces and Decompositions |
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505 | (46) |
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505 | (1) |
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506 | (14) |
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520 | (9) |
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4 Decomposition of Point Sets, and Their Equivalence by Decomposition |
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529 | (5) |
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5 Decompositions and Equivalence of Polygons in Elementary Geometry |
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534 | (3) |
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537 | (10) |
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547 | (4) |
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Andrzej Mostowski: A Biographical Note |
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551 | (4) |
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551 | (1) |
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551 | (1) |
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3 Main Scientific Achievements |
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552 | (1) |
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553 | (1) |
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553 | (1) |
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553 | (2) |
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554 | (1) |
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Foundations and Philosophy of Mathematics in Warsaw, the School of Andrzej Mostowski and Philosophy |
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555 | (12) |
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555 | (1) |
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2 Some Mathematical Works in the Foundations |
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556 | (6) |
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3 Old School and Old Ideas |
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562 | (1) |
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4 The Old School and New Ideas: Computations |
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563 | (1) |
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563 | (1) |
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564 | (3) |
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564 | (3) |
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Jerzy Slupecki (1904-1987) |
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567 | (8) |
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References and Bibliography |
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572 | (3) |
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Rejection in Lukasiewicz's and Slupecki's Sense |
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575 | (24) |
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Urszula Wybraniec-Skardowska |
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575 | (3) |
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2 Reconstruction of Concepts of Rejection and Decidability: The Notions Introduced and Used by Lukasiewicz |
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578 | (1) |
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3 The Problem of Decidability of Aristotle's Syllogistics, Set by Lukasiewicz, and Its Solution Given by Slupecki |
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579 | (6) |
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4 Notions of Rejection in a Deductive System and Notions of L-Decidability |
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585 | (2) |
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5 More Important Findings Concerning L-Decidability of Deductive Systems |
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587 | (4) |
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591 | (2) |
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7 Rejection Operation as a Primitive Notion |
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593 | (6) |
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594 | (5) |
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Boleslaw Sobocinski: The Ace of the Second Generation of the LWS |
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599 | (16) |
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600 | (2) |
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602 | (2) |
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604 | (3) |
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4 Interests and Achievements |
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607 | (2) |
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609 | (1) |
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6 Selected Publications by Boleslaw Sobocinski |
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610 | (5) |
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612 | (3) |
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Boleslaw Sobocinski on Universals |
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615 | (18) |
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1 Lesniewski's Nominalist Argumentation in Sobociriski's Version |
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617 | (7) |
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2 Sobocinski's Metaconceptualism |
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624 | (9) |
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631 | (2) |
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Many-Valued Logics in the Iberian Peninsula |
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633 | (12) |
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634 | (2) |
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2 Many-Valued Logics and the Lvov-Warsaw School |
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636 | (5) |
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3 Reception of Many-valued Logics and Fuzzy Logic in the Iberian Peninsula |
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641 | (1) |
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642 | (3) |
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643 | (2) |
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Ontology of Logic and Mathematics in Lvov-Warsaw School |
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645 | (20) |
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1 Jan Lukasiewicz: (Neo)Platonism |
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646 | (2) |
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2 Stanistaw Lesniewski: Nominalism |
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648 | (2) |
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3 Alfred Tarski: Nominalism |
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650 | (2) |
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4 Tadeusz Kotarbiriski: Reism |
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652 | (3) |
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5 Leon Chwistek: Nominalism |
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655 | (1) |
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6 Kazimierz Ajdukiewicz and Ontology of Mathematics |
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656 | (1) |
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7 Andrzej Mostowski: Nominalism, Reism, Constructivism |
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657 | (2) |
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659 | (6) |
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660 | (5) |
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Part III The War and Post-War Period |
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A View of Revival of Mathematical Logic in Warsaw, 1945-1975 |
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665 | (8) |
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665 | (1) |
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666 | (1) |
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3 Andrzej Mostowski and His Students |
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667 | (1) |
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4 Helena Rasiowa and Her Group |
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668 | (1) |
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669 | (2) |
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671 | (2) |
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671 | (2) |
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Andrzej Mostowski and the Notion of a Model |
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673 | (20) |
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1 The Emergence of a New Discipline |
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673 | (2) |
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2 Mostowski's Writings in Model Theory |
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675 | (1) |
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3 Background and Notation |
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676 | (1) |
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4 Some of Tarski's Proposals |
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677 | (2) |
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679 | (2) |
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681 | (3) |
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7 Thirty Years of Foundational Studies |
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684 | (1) |
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685 | (2) |
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9 Mostowski's Attributions in General |
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687 | (1) |
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688 | (5) |
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689 | (4) |
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All Quantifiers Versus the Quantifier AH |
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693 | (10) |
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1 The Universal Quantifier and Its Dual |
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694 | (1) |
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2 A Digression on the Range of the Familiar Quantifiers |
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695 | (1) |
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696 | (1) |
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4 Generalized Quantifiers in Logic |
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697 | (2) |
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5 Characterizing Context-Independent Quantifiers |
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699 | (2) |
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6 Formalism-Free Definition of A-Definable Quantifiers? |
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|
701 | (2) |
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701 | (2) |
|
Helena Rasiowa (1917-1994) |
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703 | (8) |
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|
709 | (2) |
|
Post Algebras in the Work of Helena Rasiowa |
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|
711 | (12) |
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1 Plain Semi-Post Algebras |
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|
712 | (3) |
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2 Post Algebras of Order m |
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|
715 | (1) |
|
3 Post Algebras of Order ω+ |
|
|
716 | (1) |
|
4 Post Algebras of Order ω + ω* |
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|
717 | (6) |
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|
719 | (4) |
|
Andrzej Grzegorczyk, a Logician Par Excellence |
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|
723 | (8) |
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|
723 | (1) |
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2 Logical Accomplishments |
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|
724 | (2) |
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|
726 | (1) |
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727 | (4) |
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|
728 | (3) |
|
A Mystery of Grzegorczyk's Logic of Descriptions |
|
|
731 | (16) |
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|
|
|
732 | (1) |
|
2 The Logic of Descriptions LD |
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|
733 | (5) |
|
|
738 | (3) |
|
4 Extensions and Modifications of LD |
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|
741 | (3) |
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|
744 | (3) |
|
|
744 | (3) |
|
Roman Suszko: Logician and Philosopher |
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|
747 | (6) |
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|
|
747 | (1) |
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|
748 | (2) |
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|
750 | (1) |
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|
751 | (1) |
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|
752 | (1) |
|
From Formal Theory of Knowledge to Non-Fregean Logic |
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|
753 | (10) |
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|
754 | (3) |
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|
757 | (6) |
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|
762 | (1) |
|
Categories of First-Order Quantifiers |
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|
763 | (16) |
|
Urszula Wybraniec-Skardowska |
|
|
|
764 | (1) |
|
|
764 | (1) |
|
3 Some Intuitive Foundations of the Theory of Categorial Languages |
|
|
765 | (4) |
|
4 The Solution of the Problem of Quantifiers of 1st-Order |
|
|
769 | (6) |
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|
775 | (4) |
|
|
775 | (4) |
|
The Lvov-Warsaw School: A True Mythology |
|
|
779 | (33) |
|
|
1 From Bahi'a Blanca to Wroclaw |
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|
780 | (7) |
|
2 The Atopicity of the Lvov-Warsaw School |
|
|
787 | (11) |
|
3 The Future of the Lvov-Warsaw School |
|
|
798 | (14) |
References |
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812 | |