Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Concepts:where cogn.science went wrong' and 'Coming-to-be and Passing-away (Gen/Corr)'

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43 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
Unobservant thinkers tend to dogmatise using insufficient facts [Aristotle]
2. Reason / D. Definition / 13. Against Definition
We have no successful definitions, because they all use indefinable words [Fodor]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
'Reflection principles' say the whole truth about sets can't be captured [Koellner]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
We have no argument to show a statement is absolutely undecidable [Koellner]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / c. Potential infinite
Infinity is only potential, never actual [Aristotle]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
There are at least eleven types of large cardinal, of increasing logical strength [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
Arithmetical undecidability is always settled at the next stage up [Koellner]
7. Existence / A. Nature of Existence / 2. Types of Existence
Existence is either potential or actual [Aristotle]
If 'exist' is ambiguous in 'chairs and numbers exist', that mirrors the difference between chairs and numbers [Fodor]
7. Existence / B. Change in Existence / 1. Nature of Change
True change is in a thing's logos or its matter, not in its qualities [Aristotle]
A change in qualities is mere alteration, not true change [Aristotle]
If the substratum persists, it is 'alteration'; if it doesn't, it is 'coming-to-be' or 'passing-away' [Aristotle]
7. Existence / B. Change in Existence / 2. Processes
All comings-to-be are passings-away, and vice versa [Aristotle]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / c. Dispositions as conditional
Empiricists use dispositions reductively, as 'possibility of sensation' or 'possibility of experimental result' [Fodor]
9. Objects / C. Structure of Objects / 3. Matter of an Object
Matter is the substratum, which supports both coming-to-be and alteration [Aristotle]
9. Objects / E. Objects over Time / 10. Beginning of an Object
Does the pure 'this' come to be, or the 'this-such', or 'so-great', or 'somewhere'? [Aristotle]
Philosophers have worried about coming-to-be from nothing pre-existing [Aristotle]
The substratum changing to a contrary is the material cause of coming-to-be [Aristotle]
If a perceptible substratum persists, it is 'alteration'; coming-to-be is a complete change [Aristotle]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / b. Primary/secondary
Which of the contrary features of a body are basic to it? [Aristotle]
12. Knowledge Sources / D. Empiricism / 2. Associationism
Associationism can't explain how truth is preserved [Fodor]
18. Thought / C. Content / 2. Ideas
Mental representations are the old 'Ideas', but without images [Fodor]
18. Thought / D. Concepts / 2. Origin of Concepts / c. Nativist concepts
Fodor is now less keen on the innateness of concepts [Fodor, by Lowe]
18. Thought / D. Concepts / 3. Ontology of Concepts / a. Concepts as representations
It is essential to the concept CAT that it be satisfied by cats [Fodor]
18. Thought / D. Concepts / 3. Ontology of Concepts / b. Concepts as abilities
I prefer psychological atomism - that concepts are independent of epistemic capacities [Fodor]
18. Thought / D. Concepts / 4. Structure of Concepts / b. Analysis of concepts
Definable concepts have constituents, which are necessary, individuate them, and demonstrate possession [Fodor]
18. Thought / D. Concepts / 4. Structure of Concepts / d. Concepts as prototypes
Many concepts lack prototypes, and complex prototypes aren't built from simple ones [Fodor]
18. Thought / D. Concepts / 4. Structure of Concepts / f. Theory theory of concepts
The theory theory can't actually tell us what concepts are [Fodor]
19. Language / C. Assigning Meanings / 2. Semantics
English has no semantic theory, just associations between sentences and thoughts [Fodor]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / a. Greek matter
Matter is the limit of points and lines, and must always have quality and form [Aristotle]
The primary matter is the substratum for the contraries like hot and cold [Aristotle]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / c. Ultimate substances
There couldn't be just one element, which was both water and air at the same time [Aristotle]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / f. Ancient elements
The Four Elements must change into one another, or else alteration is impossible [Aristotle]
Fire is hot and dry; Air is hot and moist; Water is cold and moist; Earth is cold and dry [Aristotle]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / g. Atomism
Bodies are endlessly divisible [Aristotle]
Wood is potentially divided through and through, so what is there in the wood besides the division? [Aristotle]
If a body is endlessly divided, is it reduced to nothing - then reassembled from nothing? [Aristotle]
27. Natural Reality / D. Time / 1. Nature of Time / b. Relative time
There is no time without movement [Aristotle]
27. Natural Reality / E. Cosmology / 2. Eternal Universe
If each thing can cease to be, why hasn't absolutely everything ceased to be long ago? [Aristotle]
28. God / B. Proving God / 2. Proofs of Reason / a. Ontological Proof
Being is better than not-being [Aristotle]
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
An Order controls all things [Aristotle]