Combining Texts

All the ideas for 'Critical Common-Sensism', 'Letters to Queen Charlotte' and 'works'

expand these ideas     |    start again     |     specify just one area for these texts

---

8 ideas

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers

23026

We know mathematical axioms, such as subtracting equals from equals leaves equals, by a natural light [Leibniz]

9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects

14797

Vagueness is a neglected but important part of mathematical thought [Peirce]

14798

All communication is vague, and is outside the principle of non-contradiction [Peirce]

9. Objects / D. Essence of Objects / 7. Essence and Necessity / b. Essence not necessities

13189

A necessary feature (such as air for humans) is not therefore part of the essence [Leibniz]

10. Modality / D. Knowledge of Modality / 1. A Priori Necessary

19432

Intelligible truth is independent of any external things or experiences [Leibniz]

12. Knowledge Sources / B. Perception / 2. Qualities in Perception / d. Secondary qualities

19430

We know objects by perceptions, but their qualities don't reveal what it is we are perceiving [Leibniz]

12. Knowledge Sources / D. Empiricism / 1. Empiricism

19431

There is nothing in the understanding but experiences, plus the understanding itself, and the understander [Leibniz]

13. Knowledge Criteria / C. External Justification / 1. External Justification

3568	Surely ALL truths are externally justified, by the facts? [Cross,A]