Combining Texts

All the ideas for 'Intrinsic and Extrinsic Properties', 'Five Milestones of Empiricism' and 'Continuity and Irrational Numbers'

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14 ideas

2. Reason / D. Definition / 7. Contextual Definition
Contextual definition shifted the emphasis from words to whole sentences [Quine]
Bentham's contextual definitions preserved terms after their denotation became doubtful [Quine]
3. Truth / B. Truthmakers / 4. Truthmaker Necessitarianism
Give up objects necessitating truths, and say their natures cause the truths? [Cameron]
3. Truth / B. Truthmakers / 5. What Makes Truths / c. States of affairs make truths
Truthmaker requires a commitment to tropes or states of affairs, for contingent truths [Cameron]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
We want the essence of continuity, by showing its origin in arithmetic [Dedekind]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts
A cut between rational numbers creates and defines an irrational number [Dedekind]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
Arithmetic is just the consequence of counting, which is the successor operation [Dedekind]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
If x changes by less and less, it must approach a limit [Dedekind]
8. Modes of Existence / B. Properties / 4. Intrinsic Properties
Essentialists say intrinsic properties arise from what the thing is, irrespective of surroundings [Cameron]
An object's intrinsic properties are had in virtue of how it is, independently [Cameron]
9. Objects / E. Objects over Time / 1. Objects over Time
Most criteria for identity over time seem to leave two later objects identical to the earlier one [Cameron]
12. Knowledge Sources / D. Empiricism / 1. Empiricism
In scientific theories sentences are too brief to be independent vehicles of empirical meaning [Quine]
Empiricism improvements: words for ideas, then sentences, then systems, then no analytic, then naturalism [Quine]
19. Language / E. Analyticity / 4. Analytic/Synthetic Critique
Holism in language blurs empirical synthetic and empty analytic sentences [Quine]