Combining Texts

All the ideas for 'God and Human Attributes', 'Dispositions and Powers' and 'Principles of Arithmetic, by a new method'

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


21 ideas

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
All models of Peano axioms are isomorphic, so the models all seem equally good for natural numbers [Cartwright,R on Peano]
PA concerns any entities which satisfy the axioms [Peano, by Bostock]
Peano axioms not only support arithmetic, but are also fairly obvious [Peano, by Russell]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
We can add Reflexion Principles to Peano Arithmetic, which assert its consistency or soundness [Halbach on Peano]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Arithmetic can have even simpler logical premises than the Peano Axioms [Russell on Peano]
8. Modes of Existence / B. Properties / 1. Nature of Properties
Humeans see properties as having no more essential features and relations than their distinctness [Friend/Kimpton-Nye, by PG]
Dispositions are what individuate properties, and they constitute their essence [Friend/Kimpton-Nye]
8. Modes of Existence / C. Powers and Dispositions / 1. Powers
Powers are properties which necessitate dispositions [Friend/Kimpton-Nye]
8. Modes of Existence / C. Powers and Dispositions / 2. Powers as Basic
Dispositional essentialism (unlike the grounding view) says only fundamental properties are powers [Friend/Kimpton-Nye]
8. Modes of Existence / C. Powers and Dispositions / 4. Powers as Essence
A power is a property which consists entirely of dispositions [Friend/Kimpton-Nye]
Powers are qualitative properties which fully ground dispositions [Friend/Kimpton-Nye]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / a. Dispositions
Dispositions have directed behaviour which occurs if triggered [Friend/Kimpton-Nye]
'Masked' dispositions fail to react because something intervenes [Friend/Kimpton-Nye]
A disposition is 'altered' when the stimulus reverses the disposition [Friend/Kimpton-Nye]
A disposition is 'mimicked' if a different cause produces that effect from that stimulus [Friend/Kimpton-Nye]
A 'trick' can look like a stimulus for a disposition which will happen without it [Friend/Kimpton-Nye]
Some dispositions manifest themselves without a stimulus [Friend/Kimpton-Nye]
We could analyse dispositions as 'possibilities', with no mention of a stimulus [Friend/Kimpton-Nye]
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
Dispositionalism says modality is in the powers of this world, not outsourced to possible worlds [Friend/Kimpton-Nye]
26. Natural Theory / D. Laws of Nature / 7. Strictness of Laws
Hume's Dictum says no connections are necessary - so mass and spacetime warping could separate [Friend/Kimpton-Nye]
28. God / B. Proving God / 2. Proofs of Reason / c. Moral Argument
God must be fit for worship, but worship abandons morally autonomy, but there is no God [Rachels, by Davies,B]