Combining Philosophers

All the ideas for Anaxarchus, Bernard Bolzano and Paul Johnson

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28 ideas

2. Reason / B. Laws of Thought / 1. Laws of Thought
7807 The laws of thought are true, but they are not the axioms of logic [Bolzano, by George/Van Evra]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
9987 An aggregate in which order does not matter I call a 'set' [Bolzano]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
9618 Bolzano wanted to reduce all of geometry to arithmetic [Bolzano, by Brown,JR]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
10856 A truly infinite quantity does not need to be a variable [Bolzano]
6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
9830 Bolzano began the elimination of intuition, by proving something which seemed obvious [Bolzano, by Dummett]
7. Existence / C. Structure of Existence / 1. Grounding / c. Grounding and explanation
17265 Philosophical proofs in mathematics establish truths, and also show their grounds [Bolzano, by Correia/Schnieder]
12. Knowledge Sources / E. Direct Knowledge / 2. Intuition
9185 Bolzano wanted to avoid Kantian intuitions, and prove everything that could be proved [Bolzano, by Dummett]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
3061 Anaxarchus said that he was not even sure that he knew nothing [Anaxarchus, by Diog. Laertius]
19. Language / D. Propositions / 1. Propositions
22276 Bolzano saw propositions as objective entities, existing independently of us [Bolzano, by Potter]
19. Language / D. Propositions / 2. Abstract Propositions / a. Propositions as sense
17264 Propositions are abstract structures of concepts, ready for judgement or assertion [Bolzano, by Correia/Schnieder]
12232 A 'proposition' is the sense of a linguistic expression, and can be true or false [Bolzano]
19. Language / E. Analyticity / 2. Analytic Truths
12233 The ground of a pure conceptual truth is only in other conceptual truths [Bolzano]
24. Political Theory / D. Ideologies / 10. Theocracy
7337 In Mosaic legal theory, crimes are sins and sins are crimes [Johnson,P]
7339 Because human life is what is sacred, Mosaic law has no death penalty for property violations [Johnson,P]
25. Social Practice / A. Freedoms / 1. Slavery
7353 The Pharisees undermined slavery, by giving slaves responsibility and status in law courts [Johnson,P]
25. Social Practice / B. Equalities / 3. Legal equality
7340 Mosaic law was the first to embody the rule of law, and equality before the law [Johnson,P]
25. Social Practice / F. Life Issues / 1. Causing Death
7338 Man's life is sacred, because it is made in God's image [Johnson,P]
29. Religion / A. Polytheistic Religion / 2. Greek Polytheism
7348 The Jews sharply distinguish human and divine, but the Greeks pull them closer together [Johnson,P]
29. Religion / B. Monotheistic Religion / 2. Judaism
7336 A key moment is the idea of a single moral God, who imposes his morality on humanity [Johnson,P]
7341 Sampson illustrates the idea that religious heroes often begin as outlaws and semi-criminals [Johnson,P]
7342 Isaiah moved Israelite religion away from the local, onto a more universal plane [Johnson,P]
7355 The Torah pre-existed creation, and was its blueprint [Johnson,P]
7344 Judaism involves circumcision, Sabbath, Passover, Pentecost, Tabernacles, New Year, and Atonement [Johnson,P]
7345 In exile the Jews became a nomocracy [Johnson,P]
29. Religion / B. Monotheistic Religion / 3. Zoroastrianism
7347 Zoroastrians believed in one eternal beneficent being, Creator through the holy spirit [Johnson,P]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
7349 Immortality based on judgement of merit was developed by the Egyptians (not the Jews) [Johnson,P]
7354 The main doctrine of the Pharisees was belief in resurrection and the afterlife [Johnson,P]
29. Religion / D. Religious Issues / 2. Immortality / d. Heaven
7356 Pious Jews saw heaven as a vast library [Johnson,P]