Combining Texts

All the ideas for 'Utilitarianism and the Virtues', 'works' and 'Foundations of Geometry'

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12 ideas

3. Truth / A. Truth Problems / 3. Value of Truth
We should speak the truth, but also preserve and pursue it [Foot]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
Hilbert aimed to eliminate number from geometry [Hilbert, by Hart,WD]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Euclid axioms concerns possibilities of construction, but Hilbert's assert the existence of objects [Hilbert, by Chihara]
Hilbert's formalisation revealed implicit congruence axioms in Euclid [Hilbert, by Horsten/Pettigrew]
Hilbert's geometry is interesting because it captures Euclid without using real numbers [Hilbert, by Field,H]
18. Thought / B. Mechanics of Thought / 6. Artificial Thought / b. Turing Machines
Turing showed that logical rules can be specified computationally and mechanically [Turing, by Rey]
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
Consequentialists can hurt the innocent in order to prevent further wickedness [Foot]
Why might we think that a state of affairs can be morally good or bad? [Foot]
Good outcomes are not external guides to morality, but a part of virtuous actions [Foot]
The idea of a good state of affairs has no role in the thought of Aristotle, Rawls or Scanlon [Foot]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
Morality is seen as tacit legislation by the community [Foot]
23. Ethics / E. Utilitarianism / 5. Rule Utilitarianism
For consequentialism, it is irrational to follow a rule which in this instance ends badly [Foot]