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All the ideas for 'Principles of Theoretical Logic', 'Logical Necessity' and 'Truth (2nd edn)'

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24 ideas

3. Truth / A. Truth Problems / 1. Truth
6334 The function of the truth predicate? Understanding 'true'? Meaning of 'true'? The concept of truth? A theory of truth? [Horwich]
3. Truth / C. Correspondence Truth / 1. Correspondence Truth
6342 Some correspondence theories concern facts; others are built up through reference and satisfaction [Horwich]
3. Truth / C. Correspondence Truth / 3. Correspondence Truth critique
6332 The common-sense theory of correspondence has never been worked out satisfactorily [Horwich]
3. Truth / H. Deflationary Truth / 1. Redundant Truth
6335 The redundancy theory cannot explain inferences from 'what x said is true' and 'x said p', to p [Horwich]
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
6344 Truth is a useful concept for unarticulated propositions and generalisations about them [Horwich]
6336 No deflationary conception of truth does justice to the fact that we aim for truth [Horwich]
23299 Horwich's deflationary view is novel, because it relies on propositions rather than sentences [Horwich, by Davidson]
6337 The deflationary picture says believing a theory true is a trivial step after believing the theory [Horwich]
4. Formal Logic / C. Predicate Calculus PC / 1. Predicate Calculus PC
17750 The first clear proof of the consistency of the first order predicate logic was in 1928 [Hilbert/Ackermann, by Walicki]
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / h. System S5
12204 The logic of metaphysical necessity is S5 [Rumfitt]
5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
12195 Soundness in argument varies with context, and may be achieved very informally indeed [Rumfitt]
12199 There is a modal element in consequence, in assessing reasoning from suppositions [Rumfitt]
12201 We reject deductions by bad consequence, so logical consequence can't be deduction [Rumfitt]
5. Theory of Logic / D. Assumptions for Logic / 3. Contradiction
12194 Contradictions include 'This is red and not coloured', as well as the formal 'B and not-B' [Rumfitt]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
6339 Logical form is the aspects of meaning that determine logical entailments [Horwich]
5. Theory of Logic / H. Proof Systems / 2. Axiomatic Proof
12198 Geometrical axioms in logic are nowadays replaced by inference rules (which imply the logical truths) [Rumfitt]
10. Modality / A. Necessity / 3. Types of Necessity
14532 A distinctive type of necessity is found in logical consequence [Rumfitt, by Hale/Hoffmann,A]
10. Modality / A. Necessity / 6. Logical Necessity
12193 Logical necessity is when 'necessarily A' implies 'not-A is contradictory' [Rumfitt]
12200 A logically necessary statement need not be a priori, as it could be unknowable [Rumfitt]
12202 Narrow non-modal logical necessity may be metaphysical, but real logical necessity is not [Rumfitt]
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
12203 If a world is a fully determinate way things could have been, can anyone consider such a thing? [Rumfitt]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
6338 We could know the truth-conditions of a foreign sentence without knowing its meaning [Horwich]
19. Language / D. Propositions / 1. Propositions
6340 There are Fregean de dicto propositions, and Russellian de re propositions, or a mixture [Horwich]
19. Language / F. Communication / 6. Interpreting Language / b. Indeterminate translation
6341 Right translation is a mapping of languages which preserves basic patterns of usage [Horwich]