Combining Philosophers

All the ideas for Rescher,N/Oppenheim,P, Mark Colyvan and Ross P. Cameron

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53 ideas

3. Truth / B. Truthmakers / 2. Truthmaker Relation
Moral realism doesn't seem to entail the existence of any things [Cameron]
3. Truth / B. Truthmakers / 3. Truthmaker Maximalism
Surely if some propositions are grounded in existence, they all are? [Cameron]
If maximalism is necessary, then that nothing exists has a truthmaker, which it can't have [Cameron]
3. Truth / B. Truthmakers / 4. Truthmaker Necessitarianism
Orthodox Truthmaker applies to all propositions, and necessitates their truth [Cameron]
God fixes all the truths of the world by fixing what exists [Cameron]
Give up objects necessitating truths, and say their natures cause the truths? [Cameron]
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
What the proposition says may not be its truthmaker [Cameron]
Rather than what exists, some claim that the truthmakers are ways of existence, dispositions, modalities etc [Cameron]
Truthmaking doesn't require realism, because we can be anti-realist about truthmakers [Cameron]
The facts about the existence of truthmakers can't have a further explanation [Cameron]
3. Truth / B. Truthmakers / 5. What Makes Truths / c. States of affairs make truths
Truthmaker requires a commitment to tropes or states of affairs, for contingent truths [Cameron]
3. Truth / B. Truthmakers / 6. Making Negative Truths
Without truthmakers, negative truths must be ungrounded [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]
3. Truth / B. Truthmakers / 11. Truthmaking and Correspondence
I support the correspondence theory because I believe in truthmakers [Cameron]
Maybe truthmaking and correspondence stand together, and are interdefinable [Cameron]
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / g. System S4
S4 says there must be some necessary truths (the actual ones, of which there is at least one) [Cameron]
4. Formal Logic / E. Nonclassical Logics / 2. Intuitionist Logic
Rejecting double negation elimination undermines reductio proofs [Colyvan]
Showing a disproof is impossible is not a proof, so don't eliminate double negation [Colyvan]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
Excluded middle says P or not-P; bivalence says P is either true or false [Colyvan]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
Löwenheim proved his result for a first-order sentence, and Skolem generalised it [Colyvan]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
Axioms are 'categorical' if all of their models are isomorphic [Colyvan]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
Ordinal numbers represent order relations [Colyvan]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
Intuitionists only accept a few safe infinities [Colyvan]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / j. Infinite divisibility
Infinitesimals were sometimes zero, and sometimes close to zero [Colyvan]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
Reducing real numbers to rationals suggested arithmetic as the foundation of maths [Colyvan]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / f. Mathematical induction
Transfinite induction moves from all cases, up to the limit ordinal [Colyvan]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Most mathematical proofs are using set theory, but without saying so [Colyvan]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Structuralism say only 'up to isomorphism' matters because that is all there is to it [Colyvan]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
If 'in re' structures relies on the world, does the world contain rich enough structures? [Colyvan]
7. Existence / D. Theories of Reality / 2. Realism
Realism says a discourse is true or false, and some of it is true [Cameron]
Realism says truths rest on mind-independent reality; truthmaking theories are about which features [Cameron]
For realists it is analytic that truths are grounded in the world [Cameron]
8. Modes of Existence / B. Properties / 3. Types of Properties
Being polka-dotted is a 'spatial distribution' property [Cameron]
8. Modes of Existence / B. Properties / 4. Intrinsic Properties
Essentialists say intrinsic properties arise from what the thing is, irrespective of surroundings [Cameron]
An object's intrinsic properties are had in virtue of how it is, independently [Cameron]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
A whole must have one characteristic, an internal relation, and a structure [Rescher/Oppenheim]
9. Objects / E. Objects over Time / 1. Objects over Time
Most criteria for identity over time seem to leave two later objects identical to the earlier one [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]
10. Modality / C. Sources of Modality / 1. Sources of Necessity
Blackburn fails to show that the necessary cannot be grounded in the contingent [Cameron]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
We should reject distinct but indiscernible worlds [Cameron]
14. Science / C. Induction / 6. Bayes's Theorem
Probability supports Bayesianism better as degrees of belief than as ratios of frequencies [Colyvan]
14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
Mathematics can reveal structural similarities in diverse systems [Colyvan]
14. Science / D. Explanation / 2. Types of Explanation / f. Necessity in explanations
Mathematics can show why some surprising events have to occur [Colyvan]
14. Science / D. Explanation / 2. Types of Explanation / m. Explanation by proof
Proof by cases (by 'exhaustion') is said to be unexplanatory [Colyvan]
Reductio proofs do not seem to be very explanatory [Colyvan]
If inductive proofs hold because of the structure of natural numbers, they may explain theorems [Colyvan]
Can a proof that no one understands (of the four-colour theorem) really be a proof? [Colyvan]
15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind
Mathematical generalisation is by extending a system, or by abstracting away from it [Colyvan]
27. Natural Reality / D. Time / 1. Nature of Time / f. Eternalism
The 'moving spotlight' theory makes one time privileged, while all times are on a par ontologically [Cameron]
27. Natural Reality / D. Time / 3. Parts of Time / c. Intervals
Surely if things extend over time, then time itself must be extended? [Cameron]