Combining Texts

All the ideas for 'Induction', 'The Justification of Deduction' and 'A Priori Knowledge'

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18 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
19066 Philosophy aims to understand the world, through ordinary experience and science [Dummett]
2. Reason / E. Argument / 6. Conclusive Proof
19067 A successful proof requires recognition of truth at every step [Dummett]
4. Formal Logic / B. Propositional Logic PL / 3. Truth Tables
19060 Truth-tables are dubious in some cases, and may be a bad way to explain connective meaning [Dummett]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
11066 Deduction is justified by the semantics of its metalanguage [Dummett, by Hanna]
5. Theory of Logic / B. Logical Consequence / 2. Types of Consequence
19058 Syntactic consequence is positive, for validity; semantic version is negative, with counterexamples [Dummett]
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
19063 Beth trees show semantics for intuitionistic logic, in terms of how truth has been established [Dummett]
19059 In standard views you could replace 'true' and 'false' with mere 0 and 1 [Dummett]
19062 Classical two-valued semantics implies that meaning is grasped through truth-conditions [Dummett]
5. Theory of Logic / K. Features of Logics / 4. Completeness
19065 Soundness and completeness proofs test the theory of meaning, rather than the logic theory [Dummett]
10. Modality / A. Necessity / 11. Denial of Necessity
20475 Maybe modal sentences cannot be true or false [Casullo]
10. Modality / D. Knowledge of Modality / 1. A Priori Necessary
20476 If the necessary is a priori, so is the contingent, because the same evidence is involved [Casullo]
12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori
20471 Epistemic a priori conditions concern either the source, defeasibility or strength [Casullo]
20477 The main claim of defenders of the a priori is that some justifications are non-experiential [Casullo]
12. Knowledge Sources / A. A Priori Knowledge / 4. A Priori as Necessities
20472 Analysis of the a priori by necessity or analyticity addresses the proposition, not the justification [Casullo]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / c. Defeasibility
20474 'Overriding' defeaters rule it out, and 'undermining' defeaters weaken in [Casullo]
13. Knowledge Criteria / C. External Justification / 8. Social Justification
8800 If you would deny a truth if you know the full evidence, then knowledge has social aspects [Harman, by Sosa]
14. Science / D. Explanation / 2. Types of Explanation / a. Types of explanation
19061 An explanation is often a deduction, but that may well beg the question [Dummett]
19. Language / A. Nature of Meaning / 10. Denial of Meanings
19064 Holism is not a theory of meaning; it is the denial that a theory of meaning is possible [Dummett]