Combining Philosophers

All the ideas for Herodotus, Luitzen E.J. Brouwer and Machamer,P/Darden,L/Craver,C

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24 ideas

4. Formal Logic / E. Nonclassical Logics / 7. Paraconsistency
Our dislike of contradiction in logic is a matter of psychology, not mathematics [Brouwer]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
For intuitionists excluded middle is an outdated historical convention [Brouwer]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
Mathematics is a mental activity which does not use language [Brouwer, by Bostock]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / h. Reals from Cauchy
Brouwer saw reals as potential, not actual, and produced by a rule, or a choice [Brouwer, by Shapiro]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
Scientific laws largely rest on the results of counting and measuring [Brouwer]
Brouwer regards the application of mathematics to the world as somehow 'wicked' [Brouwer, by Bostock]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
Intuitionists only accept denumerable sets [Brouwer]
Neo-intuitionism abstracts from the reuniting of moments, to intuit bare two-oneness [Brouwer]
Intuitionist mathematics deduces by introspective construction, and rejects unknown truths [Brouwer]
7. Existence / B. Change in Existence / 2. Processes
Activities have place, rate, duration, entities, properties, modes, direction, polarity, energy and range [Machamer/Darden/Craver]
8. Modes of Existence / C. Powers and Dispositions / 2. Powers as Basic
Penicillin causes nothing; the cause is what penicillin does [Machamer/Darden/Craver]
11. Knowledge Aims / A. Knowledge / 2. Understanding
We understand something by presenting its low-level entities and activities [Machamer/Darden/Craver]
14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
The explanation is not the regularity, but the activity sustaining it [Machamer/Darden/Craver]
14. Science / D. Explanation / 2. Types of Explanation / h. Explanations by function
Functions are not properties of objects, they are activities contributing to mechanisms [Machamer/Darden/Craver]
14. Science / D. Explanation / 2. Types of Explanation / i. Explanations by mechanism
Mechanisms are not just push-pull systems [Machamer/Darden/Craver]
Mechanisms are systems organised to produce regular change [Machamer/Darden/Craver]
A mechanism explains a phenomenon by showing how it was produced [Machamer/Darden/Craver]
Our account of mechanism combines both entities and activities [Machamer/Darden/Craver]
Descriptions of explanatory mechanisms have a bottom level, where going further is irrelevant [Machamer/Darden/Craver]
14. Science / D. Explanation / 3. Best Explanation / b. Ultimate explanation
There are four types of bottom-level activities which will explain phenomena [Machamer/Darden/Craver]
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
We can abstract by taking an exemplary case and ignoring the detail [Machamer/Darden/Craver]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Intuitonists in mathematics worried about unjustified assertion, as well as contradiction [Brouwer, by George/Velleman]
26. Natural Theory / D. Laws of Nature / 11. Against Laws of Nature
Laws of nature have very little application in biology [Machamer/Darden/Craver]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
The Egyptians were the first to say the soul is immortal and reincarnated [Herodotus]