Combining Texts

All the ideas for 'fragments/reports', 'Letters to Fichte' and 'works'

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5 ideas

5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle

15941	For intuitionists excluded middle is an outdated historical convention [Brouwer]
	Full Idea: From the intuitionist standpoint the dogma of the universal validity of the principle of excluded third in mathematics can only be considered as a phenomenon of history of civilization, like the rationality of pi or rotation of the sky about the earth.
	From: Luitzen E.J. Brouwer (works [1930]), quoted by Shaughan Lavine - Understanding the Infinite VI.2
	A reaction: [Brouwer 1952:510-11]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / h. Reals from Cauchy

18247	Brouwer saw reals as potential, not actual, and produced by a rule, or a choice [Brouwer, by Shapiro]
	Full Idea: In his early writing, Brouwer took a real number to be a Cauchy sequence determined by a rule. Later he augmented rule-governed sequences with free-choice sequences, but even then the attitude is that Cauchy sequences are potential, not actual infinities.
	From: report of Luitzen E.J. Brouwer (works [1930]) by Stewart Shapiro - Philosophy of Mathematics 6.6
	A reaction: This is the 'constructivist' view of numbers, as espoused by intuitionists like Brouwer.

21. Aesthetics / C. Artistic Issues / 7. Art and Morality

468	Musical performance can reveal a range of virtues [Damon of Ath.]
	Full Idea: In singing and playing the lyre, a boy will be likely to reveal not only courage and moderation, but also justice.
	From: Damon (fragments/reports [c.460 BCE], B4), quoted by (who?) - where?

23. Ethics / C. Virtue Theory / 3. Virtues / g. Contemplation

7071	Life and rationality are pointless if we can only contemplate the freedom of our own ego [Jacobi]
	Full Idea: If the highest upon which I can reflect, what I can contemplate, is my empty and pure, naked and mere ego, with its autonomy and freedom: then rational self-contemplation, then rationality is for me a curse - I deplore my existence.
	From: Friedrich Jacobi (Letters to Fichte [1799], Ch.2), quoted by Simon Critchley - Continental Philosophy - V. Short Intro
	A reaction: This is a rebellion against Fichte's interpretation of Kant. It is a lovely cry from the heart on behalf of everyone who resents lines of philosophical thinking that seem to imprison the mind and cut us off from the ordinary world and real life.

23. Ethics / F. Existentialism / 2. Nihilism

7072	Jacobi was the first philosopher to talk of nihilism [Jacobi, by Critchley]
	Full Idea: Jacobi was the first to philosophically employ the concept of nihilism.
	From: report of Friedrich Jacobi (Letters to Fichte [1799]) by Simon Critchley - Continental Philosophy - V. Short Intro Ch.2
	A reaction: Critchley explains that it was Jacobi's fear that Fichte was drawing nihilist conclusions from Kant's philosophy. This fear may be seen as the beginning of what is loosely called 'continental philosophy'. A worthy subject for thinkers...