Combining Texts

All the ideas for 'works', 'Metaphysics' and 'Frege on Apriority'

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4 ideas

6. Mathematics / A. Nature of Mathematics / 2. Geometry
9159 You can't simply convert geometry into algebra, as some spatial content is lost [Burge]
     Full Idea: Although one can translate geometrical propositions into algebraic ones and produce equivalent models, the meaning of geometrical propositions seems to me to be thereby lost. Pure geometry involves spatial content, even if abstracted from physical space.
     From: Tyler Burge (Frege on Apriority [2000], IV)
     A reaction: This supports Frege's view (against Quine) that geometry won't easily fit into the programme of logicism. I agree with Burge. You would be focusing on the syntax of geometry, and leaving out the semantics.
7. Existence / C. Structure of Existence / 8. Stuff / a. Pure stuff
16771 A composite is a true unity if all of its parts fall under one essence [Scheibler]
     Full Idea: A composite entity is a unum per se if the partial entities that are in it are contained under one common essence. …In water, all those parts are contained under one essence of water.
     From: Chistoph Scheibler (Metaphysics [1650], I.4.1 n9), quoted by Robert Pasnau - Metaphysical Themes 1274-1671
     A reaction: Water mixed with wine is said to be an 'ens per accidens'. This is an unusual but possible view, that all the water there is is a single thing, united by its compositional essence. When we talk about 'water', we include possible water, and past water.
29. Religion / B. Monotheistic Religion / 4. Christianity / d. Heresy
16713 Philosophers are the forefathers of heretics [Tertullian]
     Full Idea: Philosophers are the forefathers of heretics.
     From: Tertullian (works [c.200]), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 20.2
29. Religion / D. Religious Issues / 1. Religious Commitment / e. Fideism
6610 I believe because it is absurd [Tertullian]
     Full Idea: I believe because it is absurd ('Credo quia absurdum est').
     From: Tertullian (works [c.200]), quoted by Robert Fogelin - Walking the Tightrope of Reason n4.2
     A reaction: This seems to be a rather desperate remark, in response to what must have been rather good hostile arguments. No one would abandon the support of reason if it was easy to acquire. You can't deny its engaging romantic defiance, though.