Combining Texts

All the ideas for 'fragments/reports', 'Disputed questions about truth' and 'Rechnungsmethoden (dissertation)'

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6 ideas

3. Truth / C. Correspondence Truth / 1. Correspondence Truth
Truth is the conformity of being to intellect [Aquinas]
     Full Idea: The word 'true' expresses the conformity of a being to intellect.
     From: Thomas Aquinas (Disputed questions about truth [1267], I.1c), quoted by Kretzmann/Stump - Aquinas, Thomas 09
     A reaction: I believe in a 'robust' theory of truth, but accept that the concept of 'correspondence' has major problems. So I embrace with delight the word 'conformity'. I offer the world The Conformity Theory of Truth! 'Conform' is suitably vague.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
Quantity is inconceivable without the idea of addition [Frege]
     Full Idea: There is so intimate a connection between the concepts of addition and of quantity that one cannot begin to grasp the latter without the former.
     From: Gottlob Frege (Rechnungsmethoden (dissertation) [1874], p.2), quoted by Michael Dummett - Frege philosophy of mathematics 22 'Quantit'
     A reaction: Frege offers good reasons for making cardinals prior to ordinals, though plenty of people disagree.
6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
Geometry appeals to intuition as the source of its axioms [Frege]
     Full Idea: The elements of all geometrical constructions are intuitions, and geometry appeals to intuition as the source of its axioms.
     From: Gottlob Frege (Rechnungsmethoden (dissertation) [1874], Ch.6), quoted by Michael Dummett - Frege philosophy of mathematics
     A reaction: Very early Frege, but he stuck to this view, while firmly rejecting intuition as a source of arithmetic. Frege would have known well that Euclid's assumption about parallels had been challenged.
7. Existence / A. Nature of Existence / 3. Being / f. Primary being
Being is basic to thought, and all other concepts are additions to being [Aquinas]
     Full Idea: Being is inherently intellect's most intelligible object, in which it finds the basis of all conceptions. ...All of intellect's other conceptions must be arrived at by adding to being, insofar as they express what is not expressed by 'being' itself.
     From: Thomas Aquinas (Disputed questions about truth [1267], I.1c), quoted by Kretzmann/Stump - Aquinas, Thomas 09
     A reaction: I like the word 'intelligible' here. We might know reality, or be aware of appearances, but what is intelligible lies nicely in between. What would Berkeley make of that? I presume 'intelligible' means 'makes good sense'.
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
     Full Idea: Archelaus was the first person to say that the universe is boundless.
     From: report of Archelaus (fragments/reports [c.450 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 02.Ar.3
27. Natural Reality / G. Biology / 3. Evolution
Archelaus said life began in a primeval slime [Archelaus, by Schofield]
     Full Idea: Archelaus wrote that life on Earth began in a primeval slime.
     From: report of Archelaus (fragments/reports [c.450 BCE]) by Malcolm Schofield - Archelaus
     A reaction: This sounds like a fairly clearcut assertion of the production of life by evolution. Darwin's contribution was to propose the mechanism for achieving it. We should honour the name of Archelaus for this idea.