Combining Texts

All the ideas for 'fragments/reports', 'Counting and the Natural Numbers' and 'Intro to Oxford Hndbk of Metaphysics'

unexpand these ideas     |    start again     |     specify just one area for these texts


6 ideas

1. Philosophy / E. Nature of Metaphysics / 6. Metaphysics as Conceptual
Modern empirical metaphysics focuses on ontological commitments of discourse, or on presuppositions [Loux/Zimmerman]
     Full Idea: The empiricist revival of metaphysics came with Quine, who focused on ontological commitments associated with accepting a body of discourse, and Strawson, asking about the presuppositions of our conceptual practices.
     From: M Loux / D Zimmerman (Intro to Oxford Hndbk of Metaphysics [2003])
     A reaction: I find myself preferring the British approach. I can discourse about things without ontological commitment, and utter truths about non-existent things. I really yearn, though, for the third way - actually reasoning towards knowing what's out there.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers
The essence of natural numbers must reflect all the functions they perform [Sicha]
     Full Idea: What is really essential to being a natural number is what is common to the natural numbers in all the functions they perform.
     From: Jeffrey H. Sicha (Counting and the Natural Numbers [1968], 2)
     A reaction: I could try using natural numbers as insults. 'You despicable seven!' 'How dare you!' I actually agree. The question about functions is always 'what is it about this thing that enables it to perform this function'.
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
To know how many, you need a numerical quantifier, as well as equinumerosity [Sicha]
     Full Idea: A knowledge of 'how many' cannot be inferred from the equinumerosity of two collections; a numerical quantifier statement is needed.
     From: Jeffrey H. Sicha (Counting and the Natural Numbers [1968], 3)
Counting puts an initial segment of a serial ordering 1-1 with some other entities [Sicha]
     Full Idea: Counting is the activity of putting an initial segment of a serially ordered string in 1-1 correspondence with some other collection of entities.
     From: Jeffrey H. Sicha (Counting and the Natural Numbers [1968], 2)
25. Social Practice / E. Policies / 5. Education / b. Education principles
Learned men gain more in one day than others do in a lifetime [Posidonius]
     Full Idea: In a single day there lies open to men of learning more than there ever does to the unenlightened in the longest of lifetimes.
     From: Posidonius (fragments/reports [c.95 BCE]), quoted by Seneca the Younger - Letters from a Stoic 078
     A reaction: These remarks endorsing the infinite superiority of the educated to the uneducated seem to have been popular in late antiquity. It tends to be the religions which discourage great learning, especially in their emphasis on a single book.
27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure
Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]
     Full Idea: Posidonius defined time thus: it is an interval of motion, or the measure of speed and slowness.
     From: report of Posidonius (fragments/reports [c.95 BCE]) by John Stobaeus - Anthology 1.08.42
     A reaction: Hm. Can we define motion or speed without alluding to time? Looks like we have to define them as a conjoined pair, which means we cannot fully understand either of them.