Combining Texts

All the ideas for 'Introduction to Russell's Theory of Types', 'Logic (Port-Royal Art of Thinking)' and 'Vagueness: a global approach'

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17 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
The Axiom of Reducibility is self-effacing: if true, it isn't needed [Quine]
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
Indeterminacy is in conflict with classical logic [Fine,K]
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
Classical semantics has referents for names, extensions for predicates, and T or F for sentences [Fine,K]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / b. Levels of abstraction
We can rise by degrees through abstraction, with higher levels representing more things [Arnauld,A/Nicole,P]
7. Existence / D. Theories of Reality / 10. Vagueness / a. Problem of vagueness
Conjoining two indefinites by related sentences seems to produce a contradiction [Fine,K]
Standardly vagueness involves borderline cases, and a higher standpoint from which they can be seen [Fine,K]
Local indeterminacy concerns a single object, and global indeterminacy covers a range [Fine,K]
7. Existence / D. Theories of Reality / 10. Vagueness / c. Vagueness as ignorance
Identifying vagueness with ignorance is the common mistake of confusing symptoms with cause [Fine,K]
7. Existence / D. Theories of Reality / 10. Vagueness / f. Supervaluation for vagueness
Supervaluation can give no answer to 'who is the last bald man' [Fine,K]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
We do not have an intelligible concept of a borderline case [Fine,K]
12. Knowledge Sources / B. Perception / 3. Representation
We can only know the exterior world via our ideas [Arnauld,A/Nicole,P]
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
Forms make things distinct and explain the properties, by pure form, or arrangement of parts [Arnauld,A/Nicole,P]
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
We know by abstraction because we only understand composite things a part at a time [Arnauld,A/Nicole,P]
15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind
A triangle diagram is about all triangles, if some features are ignored [Arnauld,A/Nicole,P]
15. Nature of Minds / C. Capacities of Minds / 6. Idealisation
No one denies that a line has width, but we can just attend to its length [Arnauld,A/Nicole,P]
16. Persons / D. Continuity of the Self / 2. Mental Continuity / b. Self as mental continuity
It seems absurd that there is no identity of any kind between two objects which involve survival [Fine,K]
26. Natural Theory / D. Laws of Nature / 4. Regularities / a. Regularity theory
We identify laws with regularities because we mistakenly identify causes with their symptoms [Fine,K]