Combining Philosophers

All the ideas for Hermarchus, Bernard Bolzano and Judith (Jarvis) Thomson

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


22 ideas

2. Reason / B. Laws of Thought / 1. Laws of Thought
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
An aggregate in which order does not matter I call a 'set' [Bolzano]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
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
A truly infinite quantity does not need to be a variable [Bolzano]
6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
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
Philosophical proofs in mathematics establish truths, and also show their grounds [Bolzano, by Correia/Schnieder]
9. Objects / E. Objects over Time / 5. Temporal Parts
Temporal parts is a crazy doctrine, because it entails constantly creating stuff ex nihilo [Thomson, by Koslicki]
How can point-duration slices of people have beliefs or desires? [Thomson]
12. Knowledge Sources / E. Direct Knowledge / 2. Intuition
Bolzano wanted to avoid Kantian intuitions, and prove everything that could be proved [Bolzano, by Dummett]
19. Language / D. Propositions / 1. Propositions
Bolzano saw propositions as objective entities, existing independently of us [Bolzano, by Potter]
19. Language / D. Propositions / 2. Abstract Propositions / a. Propositions as sense
Propositions are abstract structures of concepts, ready for judgement or assertion [Bolzano, by Correia/Schnieder]
A 'proposition' is the sense of a linguistic expression, and can be true or false [Bolzano]
19. Language / E. Analyticity / 2. Analytic Truths
The ground of a pure conceptual truth is only in other conceptual truths [Bolzano]
25. Social Practice / F. Life Issues / 3. Abortion
Is someone's right to life diminished if they were conceived by a rape? [Thomson]
No one is morally required to make huge sacrifices to keep someone else alive for nine months [Thomson]
It can't be murder for a mother to perform an abortion on herself to save her own life [Thomson]
A newly fertilized ovum is no more a person than an acorn is an oak tree [Thomson]
Maybe abortion can be justified despite the foetus having full human rights [Thomson, by Foot]
The foetus is safe in the womb, so abortion initiates its death, with the mother as the agent. [Foot on Thomson]
The right to life does not bestow the right to use someone else's body to support that life [Thomson]
The right to life is not a right not to be killed, but not to be killed unjustly [Thomson]
25. Social Practice / F. Life Issues / 6. Animal Rights
Animals are dangerous and nourishing, and can't form contracts of justice [Hermarchus, by Sedley]