Combining Texts

Ideas for 'Thinking About Mathematics', 'Material Beings' and 'fragments/reports'

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2 ideas

4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
Stoics like syllogisms, for showing what is demonstrative, which corrects opinions [Stoic school, by Diog. Laertius]
     Full Idea: Stoics say the study of syllogisms is extremely useful; for it indicates what is demonstrative, and this makes a big contribution toward correcting one's opinions; and orderliness and good memory indicate attentive comprehension.
     From: report of Stoic school (fragments/reports [c.200 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 07.45
     A reaction: The stoics also developed propositional logic. The main point is that they liked formal logic, which is not true of all the ancient schools.
4. Formal Logic / G. Formal Mereology / 1. Mereology
Mereology is 'nihilistic' (just atoms) or 'universal' (no restrictions on what is 'whole') [Inwagen, by Varzi]
     Full Idea: Van Ingwagen writes of 'mereological nihilism' (that only mereological atoms exist) and of 'mereological universalism' (adhering to the principle of Unrestricted Composition).
     From: report of Peter van Inwagen (Material Beings [1990], p.72-) by Achille Varzi - Mereology 4.3
     A reaction: They both look mereologically nihilistic to me, in comparison with an account that builds on 'natural' wholes and their parts. You can only be 'unrestricted' if you view the 'wholes' in your vast ontology as pretty meaningless (as Lewis does, Idea 10660).