Combining Texts

All the ideas for 'fragments/reports', 'The Philosophy of History' and 'Elements of Mathematical Logic'

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5 ideas

4. Formal Logic / E. Nonclassical Logics / 3. Many-Valued Logic
Lukasiewicz's L3 logic has three truth-values, T, F and I (for 'indeterminate') [Lukasiewicz, by Fisher]
     Full Idea: In response to Aristotle's sea-battle problem, Lukasiewicz proposed a three-valued logic that has come to be known as L3. In addition to the values true and false (T and F), there is a third truth-value, I, meaning 'indeterminate' or 'possible'.
     From: report of Jan Lukasiewicz (Elements of Mathematical Logic [1928], 7.I) by Jennifer Fisher - On the Philosophy of Logic
     A reaction: [He originated the idea in 1917] In what sense is the third value a 'truth' value? Is 'I don't care' a truth-value? Or 'none of the above'? His idea means that formalization doesn't collapse when things get obscure. You park a few propositions under I.
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
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?
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
Man is God if he raises himself, by denying his nature and finitude [Hegel]
     Full Idea: Man is only God in so far as he negates the natural existence and finitude of his spirit and raises himself to God.
     From: Georg W.F.Hegel (The Philosophy of History [1840], p.324), quoted by Stephen Houlgate - An Introduction to Hegel 10 'God'
     A reaction: I suspect that it was ideas like this which motivated Nietzsche - denial of what we are, in the name of some idle daydream. I personally have no idea how to negate my natural existence or my finitude.
25. Social Practice / A. Freedoms / 1. Slavery
State slavery is a phase of education, moving towards a full culture [Hegel]
     Full Idea: Because slavery exists in states, it is a phase of advance from the merely isolated sensual existence - a phase of education - a mode of becoming participant in a higher morality and the culture connected with it.
     From: Georg W.F.Hegel (The Philosophy of History [1840], p.98), quoted by Stephen Houlgate - An Introduction to Hegel 08 'Rights'
     A reaction: [He adds that slavery should be removed slowly, not suddenly] A nicely provocative thought. Is it better to participate in something grand (like pyramid building) as a slave, or drift in dull isolation? How long should this 'phase' last?
Slavery is unjust, because humanity is essentially free [Hegel]
     Full Idea: Slavery is in and for itself an injustice, for the essence of humanity is freedom.
     From: Georg W.F.Hegel (The Philosophy of History [1840], p.99), quoted by Stephen Houlgate - An Introduction to Hegel 08 'Rights'
     A reaction: This is a corrective to Idea 12783, which offers a defence of the reality of historical slavery. That seemed to depend on some notion that each phase of history is necessary, which is implausible.