Combining Texts

All the ideas for 'The Lagoon: how Aristotle invented science', 'Grounding Concepts' and 'Logical Consequence'

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26 ideas

1. Philosophy / C. History of Philosophy / 2. Ancient Philosophy / b. Pre-Socratic philosophy
21355 The Pre-Socratics are not simple naturalists, because they do not always 'leave the gods out' [Leroi]
1. Philosophy / F. Analytic Philosophy / 4. Conceptual Analysis
17729 Examining concepts can recover information obtained through the senses [Jenkins]
3. Truth / C. Correspondence Truth / 2. Correspondence to Facts
17740 Instead of correspondence of proposition to fact, look at correspondence of its parts [Jenkins]
4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
10688 'Equivocation' is when terms do not mean the same thing in premises and conclusion [Beall/Restall]
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
10690 Formal logic is invariant under permutations, or devoid of content, or gives the norms for thought [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 2. Types of Consequence
10691 Logical consequence needs either proofs, or absence of counterexamples [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
10695 Logical consequence is either necessary truth preservation, or preservation based on interpretation [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 8. Material Implication
10689 A step is a 'material consequence' if we need contents as well as form [Beall/Restall]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
10696 A 'logical truth' (or 'tautology', or 'theorem') follows from empty premises [Beall/Restall]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
10693 Models are mathematical structures which interpret the non-logical primitives [Beall/Restall]
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 / B. Foundations for Mathematics / 2. Proof in Mathematics
10692 Hilbert proofs have simple rules and complex axioms, and natural deduction is the opposite [Beall/Restall]
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
17739 The physical effect of world on brain explains the concepts we possess [Jenkins]
17718 Grounded concepts are trustworthy maps of the world [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]