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All the ideas for 'What is Logic?st1=Ian Hacking', 'Truth-makers' and 'Grounding Concepts'

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34 ideas

1. Philosophy / F. Analytic Philosophy / 4. Conceptual Analysis
17729 Examining concepts can recover information obtained through the senses [Jenkins]
2. Reason / D. Definition / 3. Types of Definition
13838 A decent modern definition should always imply a semantics [Hacking]
3. Truth / B. Truthmakers / 2. Truthmaker Relation
10911 Part-whole is the key relation among truth-makers [Mulligan/Simons/Smith]
3. Truth / B. Truthmakers / 5. What Makes Truths / a. What makes truths
10906 Moments (objects which cannot exist alone) may serve as truth-makers [Mulligan/Simons/Smith]
10907 The truth-maker for a sentence may not be unique, or may be a combination, or several separate items [Mulligan/Simons/Smith]
10909 Truth-makers cannot be the designata of the sentences they make true [Mulligan/Simons/Smith]
10912 Despite negative propositions, truthmakers are not logical complexes, but ordinary experiences [Mulligan/Simons/Smith]
3. Truth / C. Correspondence Truth / 2. Correspondence to Facts
17740 Instead of correspondence of proposition to fact, look at correspondence of its parts [Jenkins]
3. Truth / C. Correspondence Truth / 3. Correspondence Truth critique
10908 Correspondence has to invoke facts or states of affairs, just to serve as truth-makers [Mulligan/Simons/Smith]
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / d. Basic theorems of PL
13834 Gentzen's Cut Rule (or transitivity of deduction) is 'If A |- B and B |- C, then A |- C' [Hacking]
13835 Only Cut reduces complexity, so logic is constructive without it, and it can be dispensed with [Hacking]
13833 'Thinning' ('dilution') is the key difference between deduction (which allows it) and induction [Hacking]
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
13845 The various logics are abstractions made from terms like 'if...then' in English [Hacking]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
13840 First-order logic is the strongest complete compact theory with Löwenheim-Skolem [Hacking]
13844 A limitation of first-order logic is that it cannot handle branching quantifiers [Hacking]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
13842 Second-order completeness seems to need intensional entities and possible worlds [Hacking]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
13837 With a pure notion of truth and consequence, the meanings of connectives are fixed syntactically [Hacking]
5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic
13839 Perhaps variables could be dispensed with, by arrows joining places in the scope of quantifiers [Hacking]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
13843 If it is a logic, the Löwenheim-Skolem theorem holds for it [Hacking]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
17730 Combining the concepts of negation and finiteness gives the concept of infinity [Jenkins]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
17719 Arithmetic concepts are indispensable because they accurately map the world [Jenkins]
17717 Senses produce concepts that map the world, and arithmetic is known through these concepts [Jenkins]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
17724 It is not easy to show that Hume's Principle is analytic or definitive in the required sense [Jenkins]
7. Existence / C. Structure of Existence / 1. Grounding / c. Grounding and explanation
17727 We can learn about the world by studying the grounding of our concepts [Jenkins]
7. Existence / C. Structure of Existence / 4. Ontological Dependence
17720 There's essential, modal, explanatory, conceptual, metaphysical and constitutive dependence [Jenkins, by PG]
7. Existence / E. Categories / 4. Category Realism
17728 The concepts we have to use for categorising are ones which map the real world well [Jenkins]
12. Knowledge Sources / A. A Priori Knowledge / 9. A Priori from Concepts
17726 Examining accurate, justified or grounded concepts brings understanding of the world [Jenkins]
12. Knowledge Sources / E. Direct Knowledge / 2. Intuition
17734 It is not enough that intuition be reliable - we need to know why it is reliable [Jenkins]
13. Knowledge Criteria / C. External Justification / 1. External Justification
17723 Knowledge is true belief which can be explained just by citing the proposition believed [Jenkins]
18. Thought / D. Concepts / 2. Origin of Concepts / b. Empirical concepts
17718 Grounded concepts are trustworthy maps of the world [Jenkins]
17739 The physical effect of world on brain explains the concepts we possess [Jenkins]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
17731 Verificationism is better if it says meaningfulness needs concepts grounded in the senses [Jenkins]
19. Language / C. Assigning Meanings / 2. Semantics
17732 Success semantics explains representation in terms of success in action [Jenkins]
19. Language / E. Analyticity / 1. Analytic Propositions
17725 'Analytic' can be conceptual, or by meaning, or predicate inclusion, or definition... [Jenkins]