Combining Texts

All the ideas for 'Defending the Axioms', 'Essays on Active Powers 4: Liberty of Agents' and 'A History of God'

expand these ideas     |    start again     |     specify just one area for these texts

19 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
17610 The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
17620 Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
17605 Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy]
17625 If two mathematical themes coincide, that suggest a single deep truth [Maddy]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
17615 Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
17618 Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
17614 The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy]
16. Persons / F. Free Will / 2. Sources of Free Will
23681 The first motion or effect cannot be produced necessarily, so the First Cause must be a free agent [Reid]
16. Persons / F. Free Will / 3. Constraints on the will
23676 A willed action needs reasonable understanding of what is to be done [Reid]
16. Persons / F. Free Will / 4. For Free Will
23680 We are morally free, because we experience it, we are accountable, and we pursue projects [Reid]
20. Action / C. Motives for Action / 3. Acting on Reason / a. Practical reason
23678 A motive is merely an idea, like advice, and not a force for action [Reid]
26. Natural Theory / C. Causation / 9. General Causation / a. Constant conjunction
23677 We all know that mere priority or constant conjunction do not have to imply causation [Reid]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
23679 The principle of the law of nature is that matter is passive, and is acted upon [Reid]
28. God / A. Divine Nature / 4. Divine Contradictions
7602 In the Bible God changes his mind (repenting of creating humanity, in the Flood) [Armstrong,K]
28. God / C. Attitudes to God / 1. Monotheism
7605 Monotheism introduced intolerance into religious thinking [Armstrong,K]
29. Religion / A. Polytheistic Religion / 3. Hinduism
7599 Around 800 BCE teachers superseded gods in India [Armstrong,K]
29. Religion / B. Monotheistic Religion / 2. Judaism
7597 There is virtually no sign of monotheism in the Pentateuch [Armstrong,K]
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
7606 The idea that Jesus was God was only settled in the fourth century [Armstrong,K]
29. Religion / D. Religious Issues / 1. Religious Commitment / e. Fideism
7596 Faith is not just belief in propositions, but also putting trust in them [Armstrong,K]