Combining Texts

All the ideas for 'Universal Arithmetick', 'New System and Explanation of New System' and 'Frege's Theory of Numbers'

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6 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure

17447

Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]

6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic

17783

A number is not a multitude, but a unified ratio between quantities [Newton]

7. Existence / C. Structure of Existence / 6. Fundamentals / c. Monads

5044	Reality must be made of basic unities, which will be animated, substantial points [Leibniz]

15. Nature of Minds / A. Nature of Mind / 5. Unity of Mind

5045	No machine or mere organised matter could have a unified self [Leibniz]

17. Mind and Body / A. Mind-Body Dualism / 5. Parallelism

5046	The soul does know bodies, although they do not influence one another [Leibniz]

27. Natural Reality / G. Biology / 2. Life

5043	To regard animals as mere machines may be possible, but seems improbable [Leibniz]