Combining Texts

All the ideas for 'fragments/reports', 'Naturalizing the Mind' and 'Set Theory and Its Philosophy'

expand these ideas     |    start again     |     specify just one area for these texts

29 ideas

1. Philosophy / B. History of Ideas / 2. Ancient Thought
1597 Thales was the first western thinker to believe the arché was intelligible [Roochnik on Thales]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
10702 Set theory's three roles: taming the infinite, subject-matter of mathematics, and modes of reasoning [Potter]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
10713 Usually the only reason given for accepting the empty set is convenience [Potter]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
13044 Infinity: There is at least one limit level [Potter]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
10708 Nowadays we derive our conception of collections from the dependence between them [Potter]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
13546 The 'limitation of size' principles say whether properties collectivise depends on the number of objects [Potter]
4. Formal Logic / G. Formal Mereology / 1. Mereology
10707 Mereology elides the distinction between the cards in a pack and the suits [Potter]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
10704 We can formalize second-order formation rules, but not inference rules [Potter]
5. Theory of Logic / H. Proof Systems / 3. Proof from Assumptions
10703 Supposing axioms (rather than accepting them) give truths, but they are conditional [Potter]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
10712 If set theory didn't found mathematics, it is still needed to count infinite sets [Potter]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
17882 It is remarkable that all natural number arithmetic derives from just the Peano Axioms [Potter]
8. Modes of Existence / A. Relations / 4. Formal Relations / a. Types of relation
13043 A relation is a set consisting entirely of ordered pairs [Potter]
9. Objects / B. Unity of Objects / 2. Substance / b. Need for substance
13042 If dependence is well-founded, with no infinite backward chains, this implies substances [Potter]
9. Objects / C. Structure of Objects / 8. Parts of Objects / b. Sums of parts
13041 Collections have fixed members, but fusions can be carved in innumerable ways [Potter]
10. Modality / A. Necessity / 1. Types of Modality
10709 Priority is a modality, arising from collections and members [Potter]
10. Modality / C. Sources of Modality / 5. Modality from Actuality
3013 Nothing is stronger than necessity, which rules everything [Thales, by Diog. Laertius]
11. Knowledge Aims / A. Knowledge / 4. Belief / a. Beliefs
5806 Belief is the power of metarepresentation [Dretske]
11. Knowledge Aims / A. Knowledge / 4. Belief / f. Animal beliefs
5801 A mouse hearing a piano played does not believe it, because it lacks concepts and understanding [Dretske]
15. Nature of Minds / A. Nature of Mind / 1. Mind / d. Location of mind
5802 Representations are in the head, but their content is not, as stories don't exist in their books [Dretske]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / d. Purpose of consciousness
5809 Some activities are performed better without consciousness of them [Dretske]
15. Nature of Minds / B. Features of Minds / 5. Qualia / a. Nature of qualia
5808 Qualia are just the properties objects are represented as having [Dretske]
16. Persons / C. Self-Awareness / 1. Introspection
5807 Introspection is the same as the experience one is introspecting [Dretske]
5803 In a representational theory of mind, introspection is displaced perception [Dretske]
5805 Introspection does not involve looking inwards [Dretske]
17. Mind and Body / C. Functionalism / 2. Machine Functionalism
5804 A representational theory of the mind is an externalist theory of the mind [Dretske]
17. Mind and Body / E. Mind as Physical / 3. Eliminativism
5800 All mental facts are representation, which consists of informational functions [Dretske]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / c. Ultimate substances
1494 Thales said water is the first principle, perhaps from observing that food is moist [Thales, by Aristotle]
27. Natural Reality / A. Classical Physics / 1. Mechanics / a. Explaining movement
1713 Thales must have thought soul causes movement, since he thought magnets have soul [Thales, by Aristotle]
29. Religion / A. Polytheistic Religion / 2. Greek Polytheism
1742 Thales said the gods know our wrong thoughts as well as our evil actions [Thales, by Diog. Laertius]