Combining Texts

All the ideas for 'fragments/reports', 'Coherence Theory of Truth and Knowledge' and 'Grundgesetze der Arithmetik 2 (Basic Laws)'

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23 ideas

2. Reason / D. Definition / 2. Aims of Definition
Later Frege held that definitions must fix a function's value for every possible argument [Frege, by Wright,C]
2. Reason / D. Definition / 7. Contextual Definition
We can't define a word by defining an expression containing it, as the remaining parts are a problem [Frege]
2. Reason / D. Definition / 11. Ostensive Definition
Only what is logically complex can be defined; what is simple must be pointed to [Frege]
3. Truth / D. Coherence Truth / 1. Coherence Truth
Coherence with a set of propositions suggests we can know the proposition corresponds [Davidson, by Donnellan]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
Cardinals say how many, and reals give measurements compared to a unit quantity [Frege]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
Real numbers are ratios of quantities [Frege, by Dummett]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
A number is a class of classes of the same cardinality [Frege, by Dummett]
Frege's biggest error is in not accounting for the senses of number terms [Hodes on Frege]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Formalism misunderstands applications, metatheory, and infinity [Frege, by Dummett]
Only applicability raises arithmetic from a game to a science [Frege]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
The first demand of logic is of a sharp boundary [Frege]
11. Knowledge Aims / A. Knowledge / 4. Belief / b. Elements of beliefs
The concepts of belief and truth are linked, since beliefs are meant to fit reality [Davidson]
12. Knowledge Sources / D. Empiricism / 1. Empiricism
Davidson believes experience is non-conceptual, and outside the space of reasons [Davidson, by McDowell]
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
Davidson says the world influences us causally; I say it influences us rationally [McDowell on Davidson]
13. Knowledge Criteria / A. Justification Problems / 3. Internal or External / a. Pro-internalism
Reasons for beliefs are not the same as evidence [Davidson]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / f. Foundationalism critique
Sensations lack the content to be logical; they cause beliefs, but they cannot justify them [Davidson]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
Coherent justification says only beliefs can be reasons for holding other beliefs [Davidson]
13. Knowledge Criteria / D. Scepticism / 6. Scepticism Critique
Skepticism is false because our utterances agree, because they are caused by the same objects [Davidson]
18. Thought / E. Abstraction / 3. Abstracta by Ignoring
The modern account of real numbers detaches a ratio from its geometrical origins [Frege]
18. Thought / E. Abstraction / 8. Abstractionism Critique
If we abstract the difference between two houses, they don't become the same house [Frege]
19. Language / F. Communication / 6. Interpreting Language / c. Principle of charity
Davidson's Cogito: 'I think, therefore I am generally right' [Davidson, by Button]
25. Social Practice / E. Policies / 5. Education / b. Education principles
Learned men gain more in one day than others do in a lifetime [Posidonius]
27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure
Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]