Combining Texts

All the ideas for 'Events and Their Names', 'Principles of Arithmetic, by a new method' and 'Truthmaking for Presentists'

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16 ideas

3. Truth / B. Truthmakers / 3. Truthmaker Maximalism
If maximalism is necessary, then that nothing exists has a truthmaker, which it can't have [Cameron]
3. Truth / B. Truthmakers / 4. Truthmaker Necessitarianism
Determinate truths don't need extra truthmakers, just truthmakers that are themselves determinate [Cameron]
3. Truth / B. Truthmakers / 5. What Makes Truths / a. What makes truths
The facts about the existence of truthmakers can't have a further explanation [Cameron]
3. Truth / B. Truthmakers / 9. Making Past Truths
The present property 'having been F' says nothing about a thing's intrinsic nature [Cameron]
One temporal distibution property grounds our present and past truths [Cameron]
We don't want present truthmakers for the past, if they are about to cease to exist! [Cameron]
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]
7. Existence / B. Change in Existence / 4. Events / c. Reduction of events
Events are made of other things, and are not fundamental to ontology [Bennett]
8. Modes of Existence / B. Properties / 3. Types of Properties
Being polka-dotted is a 'spatial distribution' property [Cameron]
9. Objects / E. Objects over Time / 2. Objects that Change
Change is instantiation of a non-uniform distributional property, like 'being red-then-orange' [Cameron]
26. Natural Theory / C. Causation / 8. Particular Causation / b. Causal relata
Facts are about the world, not in it, so they can't cause anything [Bennett]
27. Natural Reality / D. Time / 3. Parts of Time / c. Intervals
Surely if things extend over time, then time itself must be extended? [Cameron]