Combining Texts

All the ideas for 'Changes in Events and Changes in Things', 'Paradoxes of the Infinite' and 'Letters to Queen Charlotte'

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9 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
An aggregate in which order does not matter I call a 'set' [Bolzano]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
A truly infinite quantity does not need to be a variable [Bolzano]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
We know mathematical axioms, such as subtracting equals from equals leaves equals, by a natural light [Leibniz]
7. Existence / D. Theories of Reality / 8. Facts / b. Types of fact
That Queen Anne is dead is a 'general fact', not a fact about Queen Anne [Prior,AN]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / b. Essence not necessities
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
Intelligible truth is independent of any external things or experiences [Leibniz]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / d. Secondary qualities
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
There is nothing in the understanding but experiences, plus the understanding itself, and the understander [Leibniz]
27. Natural Reality / D. Time / 2. Passage of Time / e. Tensed (A) series
'Thank goodness that's over' is not like 'thank goodness that happened on Friday' [Prior,AN]