Combining Texts

All the ideas for 'fragments/reports', 'Toward a Philosophy of History' and 'Mathematics: Form and Function'

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4 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined

23367	Even pointing a finger should only be done for a reason [Epictetus]
	Full Idea: Philosophy says it is not right even to stretch out a finger without some reason.
	From: Epictetus (fragments/reports [c.57], 15)
	A reaction: The key point here is that philosophy concerns action, an idea on which Epictetus is very keen. He rather despise theory. This idea perfectly sums up the concept of the wholly rational life (which no rational person would actually want to live!).

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets

18189	ZFC could contain a contradiction, and it can never prove its own consistency [MacLane]
	Full Idea: We have at hand no proof that the axioms of ZFC for set theory will never yield a contradiction, while Gödel's second theorem tells us that such a consistency proof cannot be conducted within ZFC.
	From: Saunders MacLane (Mathematics: Form and Function [1986], p.406), quoted by Penelope Maddy - Naturalism in Mathematics
	A reaction: Maddy quotes this, while defending set theory as the foundation of mathematics, but it clearly isn't the most secure foundation that could be devised. She says the benefits of set theory do not need guaranteed consistency (p.30).

7. Existence / A. Nature of Existence / 3. Being / h. Dasein (being human)

20752	For man, being is not what he is, but what he is going to be [Ortega y Gassett]
	Full Idea: Being consists not in what it is already, but in what it is not yet, a being that consists in not-yet-being. Everything else in the world is what it is….Man is the entity that makes himself….He has to determine what he is going to be.
	From: José Ortega y Gassett (Toward a Philosophy of History [1941], p.112,201-2), quoted by Kevin Aho - Existentialism: an introduction 4 'Problem'
	A reaction: [p.112 and 201-2] This seems to be Ortega y Gasset's spin on Heidegger's concept, by adding a temporal dimension to it.

22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature

20756	Instead of having a nature, man only has a history [Ortega y Gassett]
	Full Idea: Man lives in view of the past. Man, in a word, has no nature; what he has is history. Expressed differently: what nature is to things, history is to man.
	From: José Ortega y Gassett (Toward a Philosophy of History [1941], p.217), quoted by Kevin Aho - Existentialism: an introduction 5 'Situated'
	A reaction: Makes explicit the existentialist denial of human nature. The foundation of ethics can only be total freedom, to choose both yourself and your actions. What is inescapable is the social and culture contexts. What is the role of the 'history'?