Combining Texts

All the ideas for 'What are Sets and What are they For?', 'Getting Causes from Powers' and 'On Propositions: What they are, and Meaning'

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65 ideas

3. Truth / A. Truth Problems / 5. Truth Bearers
In its primary and formal sense, 'true' applies to propositions, not beliefs [Russell]
3. Truth / B. Truthmakers / 1. For Truthmakers
The truth or falsehood of a belief depends upon a fact to which the belief 'refers' [Russell]
3. Truth / C. Correspondence Truth / 1. Correspondence Truth
Propositions of existence, generalities, disjunctions and hypotheticals make correspondence tricky [Russell]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
The empty set is usually derived from Separation, but it also seems to need Infinity [Oliver/Smiley]
The empty set is something, not nothing! [Oliver/Smiley]
We don't need the empty set to express non-existence, as there are other ways to do that [Oliver/Smiley]
Maybe we can treat the empty set symbol as just meaning an empty term [Oliver/Smiley]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / c. Unit (Singleton) Sets
The unit set may be needed to express intersections that leave a single member [Oliver/Smiley]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
If you only refer to objects one at a time, you need sets in order to refer to a plurality [Oliver/Smiley]
We can use plural language to refer to the set theory domain, to avoid calling it a 'set' [Oliver/Smiley]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Logical truths are true no matter what exists - but predicate calculus insists that something exists [Oliver/Smiley]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
If mathematics purely concerned mathematical objects, there would be no applied mathematics [Oliver/Smiley]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Sets might either represent the numbers, or be the numbers, or replace the numbers [Oliver/Smiley]
7. Existence / B. Change in Existence / 2. Processes
A process is unified as an expression of a collection of causal powers [Mumford/Anjum]
7. Existence / B. Change in Existence / 4. Events / a. Nature of events
Events are essentially changes; property exemplifications are just states of affairs [Mumford/Anjum]
8. Modes of Existence / B. Properties / 7. Emergent Properties
Weak emergence is just unexpected, and strong emergence is beyond all deduction [Mumford/Anjum]
8. Modes of Existence / C. Powers and Dispositions / 1. Powers
Powers explain properties, causes, modality, events, and perhaps even particulars [Mumford/Anjum]
8. Modes of Existence / C. Powers and Dispositions / 2. Powers as Basic
Powers offer no more explanation of nature than laws do [Mumford/Anjum]
8. Modes of Existence / C. Powers and Dispositions / 3. Powers as Derived
Powers are not just basic forces, since they combine to make new powers [Mumford/Anjum]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / a. Dispositions
Dispositionality is a natural selection function, picking outcomes from the range of possibilities [Mumford/Anjum]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / b. Dispositions and powers
We say 'power' and 'disposition' are equivalent, but some say dispositions are manifestable [Mumford/Anjum]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / c. Dispositions as conditional
The simple conditional analysis of dispositions doesn't allow for possible prevention [Mumford/Anjum]
8. Modes of Existence / C. Powers and Dispositions / 7. Against Powers
Might dispositions be reduced to normativity, or to intentionality? [Mumford/Anjum]
9. Objects / B. Unity of Objects / 3. Unity Problems / c. Statue and clay
If statue and clay fall and crush someone, the event is not overdetermined [Mumford/Anjum]
9. Objects / C. Structure of Objects / 1. Structure of an Object
Pandispositionalists say structures are clusters of causal powers [Mumford/Anjum]
9. Objects / E. Objects over Time / 5. Temporal Parts
Perdurantism imposes no order on temporal parts, so sequences of events are contingent [Mumford/Anjum]
10. Modality / A. Necessity / 1. Types of Modality
Dispositionality is the core modality, with possibility and necessity as its extreme cases [Mumford/Anjum]
Dispositions may suggest modality to us - as what might not have been, and what could have been [Mumford/Anjum]
10. Modality / A. Necessity / 7. Natural Necessity
Relations are naturally necessary when they are generated by the essential mechanisms of the world [Mumford/Anjum]
10. Modality / B. Possibility / 1. Possibility
Possibility might be non-contradiction, or recombinations of the actual, or truth in possible worlds [Mumford/Anjum]
10. Modality / C. Sources of Modality / 1. Sources of Necessity
Maybe truths are necessitated by the facts which are their truthmakers [Mumford/Anjum]
11. Knowledge Aims / A. Knowledge / 4. Belief / b. Elements of beliefs
The three questions about belief are its contents, its success, and its character [Russell]
12. Knowledge Sources / B. Perception / 1. Perception
We have more than five senses; balance and proprioception, for example [Mumford/Anjum]
14. Science / A. Basis of Science / 6. Falsification
Smoking disposes towards cancer; smokers without cancer do not falsify this claim [Mumford/Anjum]
14. Science / C. Induction / 1. Induction
If causation were necessary, the past would fix the future, and induction would be simple [Mumford/Anjum]
The only full uniformities in nature occur from the essences of fundamental things [Mumford/Anjum]
14. Science / C. Induction / 3. Limits of Induction
Nature is not completely uniform, and some regular causes sometimes fail to produce their effects [Mumford/Anjum]
14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
It is tempting to think that only entailment provides a full explanation [Mumford/Anjum]
14. Science / D. Explanation / 2. Types of Explanation / i. Explanations by mechanism
A structure won't give a causal explanation unless we know the powers of the structure [Mumford/Anjum]
17. Mind and Body / B. Behaviourism / 4. Behaviourism Critique
If we object to all data which is 'introspective' we will cease to believe in toothaches [Russell]
17. Mind and Body / D. Property Dualism / 3. Property Dualism
There are distinct sets of psychological and physical causal laws [Russell]
17. Mind and Body / D. Property Dualism / 4. Emergentism
Strong emergence seems to imply top-down causation, originating in consciousness [Mumford/Anjum]
19. Language / D. Propositions / 1. Propositions
Our important beliefs all, if put into words, take the form of propositions [Russell]
A proposition expressed in words is a 'word-proposition', and one of images an 'image-proposition' [Russell]
A proposition is what we believe when we believe truly or falsely [Russell]
26. Natural Theory / C. Causation / 1. Causation
Causation by absence is not real causation, but part of our explanatory practices [Mumford/Anjum]
Causation may not be transitive. Does a fire cause itself to be extinguished by the sprinklers? [Mumford/Anjum]
26. Natural Theory / C. Causation / 4. Naturalised causation
Causation is the passing around of powers [Mumford/Anjum]
26. Natural Theory / C. Causation / 6. Causation as primitive
We take causation to be primitive, as it is hard to see how it could be further reduced [Mumford/Anjum]
26. Natural Theory / C. Causation / 8. Particular Causation / b. Causal relata
Causation doesn't have two distinct relata; it is a single unfolding process [Mumford/Anjum]
A collision is a process, which involves simultaneous happenings, but not instantaneous ones [Mumford/Anjum]
Does causation need a third tying ingredient, or just two that meet, or might there be a single process? [Mumford/Anjum]
Sugar dissolving is a process taking time, not one event and then another [Mumford/Anjum]
26. Natural Theory / C. Causation / 8. Particular Causation / d. Selecting the cause
Privileging one cause is just an epistemic or pragmatic matter, not an ontological one [Mumford/Anjum]
26. Natural Theory / C. Causation / 9. General Causation / a. Constant conjunction
Coincidence is conjunction without causation; smoking causing cancer is the reverse [Mumford/Anjum]
26. Natural Theory / C. Causation / 9. General Causation / c. Counterfactual causation
Occasionally a cause makes no difference (pre-emption, perhaps) so the counterfactual is false [Mumford/Anjum]
Is a cause because of counterfactual dependence, or is the dependence because there is a cause? [Mumford/Anjum]
Cases of preventing a prevention may give counterfactual dependence without causation [Mumford/Anjum]
26. Natural Theory / C. Causation / 9. General Causation / d. Causal necessity
Nature can be interfered with, so a cause never necessitates its effects [Mumford/Anjum]
We assert causes without asserting that they necessitate their effects [Mumford/Anjum]
Necessary causation should survive antecedent strengthening, but no cause can always survive that [Mumford/Anjum]
26. Natural Theory / D. Laws of Nature / 7. Strictness of Laws
A 'ceteris paribus' clause implies that a conditional only has dispositional force [Mumford/Anjum]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / b. Scientific necessity
There may be necessitation in the world, but causation does not supply it [Mumford/Anjum]
26. Natural Theory / D. Laws of Nature / 11. Against Laws of Nature
Laws are nothing more than descriptions of the behaviour of powers [Mumford/Anjum]
If laws are equations, cause and effect must be simultaneous (or the law would be falsified)! [Mumford/Anjum]