Combining Texts

All the ideas for 'Particulars in Particular Clothing', 'How to Make our Ideas Clear' and 'Continuity and Irrational Numbers'

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9 ideas

3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth
7661 Truth is the opinion fated to be ultimately agreed by all investigators [Peirce]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
17611 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
10572 A cut between rational numbers creates and defines an irrational number [Dedekind]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
17612 Arithmetic is just the consequence of counting, which is the successor operation [Dedekind]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
18087 If x changes by less and less, it must approach a limit [Dedekind]
8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes
18431 Internal relations combine some tropes into a nucleus, which bears the non-essential tropes [Simons, by Edwards]
11. Knowledge Aims / A. Knowledge / 2. Understanding
19089 Our whole conception of an object is its possible practical consequences [Peirce]
11. Knowledge Aims / A. Knowledge / 4. Belief / b. Elements of beliefs
7660 We are aware of beliefs, they appease our doubts, and they are rules of action, or habits [Peirce]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
14906 Non-positivist verificationism says only take a hypothesis seriously if it is scientifically based and testable [Ladyman/Ross on Peirce]