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Part I Issues of Specification and Conception |
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3 | (10) |
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3 | (2) |
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1.2 Facing the Prospect of Error |
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5 | (1) |
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1.3 Induction as Default Reasoning |
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6 | (1) |
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1.4 Default Reasoning as Nonmonotonic |
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7 | (1) |
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1.5 Some Comforting Considerations |
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8 | (5) |
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2 Vagueness: A Variant Approach |
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13 | (12) |
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2.1 The Sorites Paradox and Its Problems |
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13 | (2) |
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2.2 Vagueness as Vagrancy |
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15 | (1) |
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2.3 Vagrancy Roots in Limited Cognition |
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16 | (1) |
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2.4 A Vagrancy Approach to Vagueness |
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17 | (2) |
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19 | (1) |
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2.6 The Epistemological Turn |
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20 | (1) |
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21 | (1) |
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22 | (3) |
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25 | (12) |
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25 | (2) |
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27 | (1) |
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28 | (3) |
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3.4 The Corrigibility of Conceptions |
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31 | (1) |
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3.5 A "Logic" of Inconceivability |
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32 | (1) |
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3.6 Inconceivable Possibilities |
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33 | (1) |
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34 | (3) |
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4 Issues of Identity and Identification |
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37 | (12) |
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4.1 Identity and Identification |
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37 | (1) |
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4.2 Descriptive Identification |
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38 | (3) |
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4.3 Fallacies of Identification--Variant Identities |
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41 | (1) |
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4.4 Ostensive Identification |
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41 | (1) |
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4.5 Identification By Placement and Relation |
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42 | (1) |
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42 | (1) |
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4.7 Improper Identification |
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43 | (1) |
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4.8 The Prospect of Limited Resources |
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43 | (1) |
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4.9 Fallacies of Identification--Failed Requirements |
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43 | (1) |
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4.10 Totalization Problems |
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44 | (5) |
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Part II Issues of Truth and Knowledge |
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5 On Explanation and Understanding |
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49 | (14) |
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5.1 Introductory Preliminaries |
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49 | (2) |
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5.2 Types of Occurrence Explanation: Inevitable Versus Contingent |
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51 | (1) |
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5.3 Factual Explanation: Positive and Negative |
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52 | (1) |
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5.4 The Idea of Pan-Explanation |
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53 | (1) |
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5.5 Omitting "Why not Otherwise" |
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53 | (1) |
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5.6 Harmonizing Explanation |
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54 | (2) |
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56 | (1) |
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5.8 The Principle of Optimality |
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57 | (2) |
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5.9 Two Modes of Explanation |
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59 | (4) |
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63 | (14) |
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6.1 Origins of Semantical Topology |
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63 | (1) |
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64 | (3) |
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6.3 Preview of Basic Machinery and Illustrations |
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67 | (1) |
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68 | (2) |
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70 | (1) |
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71 | (1) |
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6.7 Incoherence and Paradox in Alethic Topology |
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71 | (1) |
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72 | (1) |
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6.9 A Survey of Generalizations |
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73 | (2) |
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75 | (2) |
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7 Relevance and Its Problems |
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77 | (10) |
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7.1 What Relevance Is and Why It Matters |
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77 | (3) |
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7.2 Putative Versus Actual Relevance |
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80 | (1) |
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7.3 Thematic and Alethic Relevance |
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81 | (1) |
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7.4 Propositional Relevance as Basic |
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82 | (1) |
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83 | (1) |
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7.6 The Systemic Integrity of Fact |
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84 | (2) |
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7.7 Relevancy Limits and Diminishing Returns |
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86 | (1) |
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8 The Logic of Knowledge Distribution |
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87 | (10) |
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87 | (1) |
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88 | (2) |
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8.3 Cognitive Incompleteness |
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90 | (1) |
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8.4 The Distribution of Knowledge |
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91 | (2) |
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93 | (4) |
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Part III Issues of Paradox and Cognitive Incompleteness |
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9 Cognitive Reflexivity and Objective Knowledge |
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97 | (8) |
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9.1 Factual Knowledge and Its Modes |
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97 | (1) |
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98 | (2) |
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9.3 Knowledge Reflexivity |
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100 | (1) |
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9.4 Subjectivity/Objectivity |
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100 | (3) |
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9.5 From Subjectivity to Objectivity |
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103 | (2) |
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10 Leibniz and "The Liar" |
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105 | (8) |
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105 | (1) |
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10.2 Leibniz on "The Liar" |
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106 | (2) |
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108 | (1) |
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10.4 Closing Considerations |
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109 | (4) |
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11 Did Leibniz Anticipate Godel? |
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113 | (22) |
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11.1 Godel's Belief in a Leibnizian Conspiracy |
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113 | (2) |
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11.2 Leibnizian Anticipations |
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115 | (10) |
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11.2.1 Propositional Id Numbering |
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115 | (1) |
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11.2.2 Mathematical Platonism |
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116 | (1) |
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11.2.3 Mind Not a Machine |
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117 | (2) |
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119 | (2) |
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11.2.5 Truth by Calculation |
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121 | (1) |
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11.2.6 Quantitative Disparity and Provability Incompleteness |
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122 | (3) |
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11.3 Variant Perspectives Regarding Provability Incompleteness |
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125 | (2) |
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11.4 Establishing Incompleteness: Similarities and Differences |
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127 | (1) |
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11.5 Was There a Leibniz Conspiracy? |
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128 | (5) |
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133 | (2) |
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12 Reification Fallacies and Inappropriate Totalities |
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135 | (16) |
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12.1 Improperly Totalized Wholes and Illicit Reification |
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135 | (5) |
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140 | (2) |
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12.3 The Root of the Problem |
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142 | (1) |
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12.4 Russell's Vicious Circle Principle |
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142 | (2) |
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144 | (2) |
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12.6 Eliminating Grelling's Paradox |
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146 | (1) |
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12.7 Historical Postscript: Kant as a Critic of Inappropriate Totalization |
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147 | (4) |
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151 | (4) |
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14 Intuition and Mathematical Idealism |
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155 | (12) |
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14.1 Recourse to Intuition |
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155 | (3) |
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14.2 Mathematical Intuition |
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158 | (3) |
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14.3 The Problem of Overload |
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161 | (1) |
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14.4 An Alternative Strategy |
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161 | (2) |
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14.5 Idealistic Retrospect |
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163 | (4) |
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15 Outlandish Hypotheses and the Limits of Thought Experimentation |
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167 | (18) |
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15.1 Far-Fetched Hypotheses and Diminishing Returns |
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167 | (5) |
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172 | (2) |
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15.3 Suppositions that Go Too Far: Limits of Meaningfulness |
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174 | (3) |
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15.4 How Outlandish Hypotheses Pose Problems |
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177 | (2) |
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179 | (2) |
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15.6 The Shipwreck of Conjectural Analysis in Philosophy |
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181 | (4) |
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16 Limitations and the World Beyond |
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185 | (28) |
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185 | (1) |
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16.2 Limits from Axiomatization to Explanation |
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186 | (1) |
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16.3 Intrinsic Limits of Language and Truth |
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187 | (7) |
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16.4 Epistemic Reflections and Conceivability |
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194 | (4) |
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198 | (4) |
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16.6 The World of Fact as Plenum |
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202 | (6) |
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208 | (5) |
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Part IV Issues of Philosophizing |
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17 Philosophical Confrontations |
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213 | (12) |
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17.1 Philosophical Conflict |
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213 | (1) |
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17.2 St. Paul Versus The Greek Philosophers (Athens, ca. 50 A.D.) |
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213 | (1) |
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17.3 Las Casas Versus Sepulveda (Valladolid, 1550 A.D.) |
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214 | (1) |
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17.4 Leibniz Versus Clarke (Hannover/London, 1714-15) |
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215 | (1) |
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17.5 De Bois Reymond Versus Haeckel (Berlin, 1882-99) |
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216 | (2) |
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17.6 Cassirer Versus Heidegger (Davos, 1929) |
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218 | (3) |
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17.7 Popper Versus Wittgenstein (Cambridge, 1946) |
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221 | (1) |
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222 | (3) |
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18 The Limits of Philosophy |
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225 | (8) |
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19 Antiphilosophy (Philosophical Negativism) |
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233 | (16) |
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233 | (1) |
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19.2 An Historical Survey |
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234 | (8) |
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19.2.1 Heraclitean Instability and Cratylean Vacuity |
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234 | (1) |
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19.2.2 Eleatic Paradoxology |
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234 | (1) |
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19.2.3 Protagorean Relativism |
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235 | (1) |
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19.2.4 Socratic Negativism |
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236 | (1) |
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19.2.5 Empiricist Skepticism (Pyrrhonism) |
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236 | (1) |
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19.2.6 Theological Fundamentalism |
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237 | (1) |
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237 | (1) |
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19.2.8 Humean Skepticism (Hume and Appearance/Reality Skepticism) |
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237 | (1) |
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238 | (1) |
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19.2.10 Pragmatic Skepticism (James) |
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239 | (1) |
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19.2.11 Wittgensteinean Positivism |
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240 | (1) |
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19.2.12 Heideggerian Indifference and Tranquility/Gelassenheit |
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240 | (1) |
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241 | (1) |
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19.3 A Survey of Positions |
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242 | (1) |
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19.4 The Scandal of Philosophy |
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242 | (2) |
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19.5 Overcoming the Scandal: Why Antiphilosophy Fails |
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244 | (5) |
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20 The Rational Inescapability of Philosophizing |
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249 | (6) |
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20.1 The Line of Reasoning |
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249 | (1) |
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20.2 Illustrative Instanced |
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250 | (1) |
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20.3 The Socratic Discovery |
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251 | (1) |
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20.4 The Problem of Progress |
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252 | (3) |
Name Index |
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255 | |