Combining Texts

All the ideas for 'Foundations of Geometry', 'Is Justified True Belief Knowledge?' and 'reports'

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8 ideas

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 / A. Justification Problems / 2. Justification Challenges / b. Gettier problem
Being a true justified belief is not a sufficient condition for knowledge [Gettier]
16. Persons / E. Rejecting the Self / 4. Denial of the Self
Individuals don't exist, but are conventional names for sets of elements [Buddha]
29. Religion / C. Spiritual Disciplines / 3. Buddhism
The Buddha believed the gods would eventually disappear, and Nirvana was much higher [Buddha, by Armstrong,K]
Life is suffering, from which only compassion, gentleness, truth and sobriety can save us [Buddha]