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All the ideas for 'Review of Chihara 'Struct. Accnt of Maths'', 'works' and 'Human Freedom and the Self'

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13 ideas

6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Set theory is the standard background for modern mathematics [Burgess]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Structuralists take the name 'R' of the reals to be a variable ranging over structures, not a structure [Burgess]
There is no one relation for the real number 2, as relations differ in different models [Burgess]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
If set theory is used to define 'structure', we can't define set theory structurally [Burgess]
Abstract algebra concerns relations between models, not common features of all the models [Burgess]
How can mathematical relations be either internal, or external, or intrinsic? [Burgess]
16. Persons / F. Free Will / 4. For Free Will
If actions are not caused by other events, and are not causeless, they must be caused by the person [Chisholm]
16. Persons / F. Free Will / 5. Against Free Will
For Hobbes (but not for Kant) a person's actions can be deduced from their desires and beliefs [Chisholm]
If free will miraculously interrupts causation, animals might do that; why would we want to do it? [Frankfurt on Chisholm]
20. Action / C. Motives for Action / 4. Responsibility for Actions
Responsibility seems to conflict with events being either caused or not caused [Chisholm]
Desires may rule us, but are we responsible for our desires? [Chisholm]
24. Political Theory / D. Ideologies / 8. Socialism
The great interest of the human race is cordial unity and unlimited mutual aid [Owen]
26. Natural Theory / C. Causation / 8. Particular Causation / b. Causal relata
Causation among objects relates either events or states [Chisholm]