Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'Of Organum or Ars Magna of Thinking' and 'Foundations of Geometry'

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8 ideas

1. Philosophy / F. Analytic Philosophy / 1. Nature of Analysis
An idea is analysed perfectly when it is shown a priori that it is possible [Leibniz]
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]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / d. Rational foundations
Our thoughts are either dependent, or self-evident. All thoughts seem to end in the self-evident [Leibniz]
22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness
Supreme human happiness is the greatest possible increase of his perfection [Leibniz]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]