Combining Texts

All the ideas for 'Summa totius logicae', 'Truth-making and Correspondence' and 'The Rationality of Science'

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


38 ideas

1. Philosophy / G. Scientific Philosophy / 1. Aims of Science
We do not wish merely to predict, we also want to explain [Newton-Smith]
     Full Idea: We do not wish merely to predict, we also want to explain.
     From: W.H. Newton-Smith (The Rationality of Science [1981], II.3)
The real problem of science is how to choose between possible explanations [Newton-Smith]
     Full Idea: Once we move beyond investigating correlations between observables the question of what does or should guide our choice between alternative explanatory accounts becomes problematic.
     From: W.H. Newton-Smith (The Rationality of Science [1981], IX.2)
For science to be rational, we must explain scientific change rationally [Newton-Smith]
     Full Idea: We are only justified in regarding scientific practice as the very paradigm of rationality if we can justify the claim that scientific change is rationally explicable.
     From: W.H. Newton-Smith (The Rationality of Science [1981], I.2)
1. Philosophy / G. Scientific Philosophy / 2. Positivism
Critics attack positivist division between theory and observation [Newton-Smith]
     Full Idea: The critics of positivism attacked the conception of a dichotomy between theory and observation.
     From: W.H. Newton-Smith (The Rationality of Science [1981], I.4)
Positivists hold that theoretical terms change, but observation terms don't [Newton-Smith]
     Full Idea: For positivists it was taken that while theory change meant change in the meaning of theoretical terms, the meaning of observational terms was invariant under theory change.
     From: W.H. Newton-Smith (The Rationality of Science [1981], I.4)
2. Reason / B. Laws of Thought / 3. Non-Contradiction
From an impossibility anything follows [William of Ockham]
     Full Idea: From an impossibility anything follows ('quod ex impossibili sequitur quodlibet').
     From: William of Ockham (Summa totius logicae [1323], III.c.xxxvi)
     A reaction: The hallmark of a true logician, I suspect, is that this opinion is really meaningful and important to them. They yearn to follow the logic wherever it leads. Common sense would seem to say that absolutely nothing follows from an impossibility.
3. Truth / A. Truth Problems / 2. Defining Truth
If truths are just identical with facts, then truths will make themselves true [David]
     Full Idea: According to the identity theory of truth, a proposition is true if and only if it is identical with a fact. ...This leads to the unacceptable claim that every true proposition makes itself true (because it is identical to its fact).
     From: Marian David (Truth-making and Correspondence [2009], n 14)
3. Truth / A. Truth Problems / 6. Verisimilitude
More truthful theories have greater predictive power [Newton-Smith]
     Full Idea: If a theory is a better approximation to the truth, then it is likely that it will have greater predictive power.
     From: W.H. Newton-Smith (The Rationality of Science [1981], VIII.8)
Theories generate infinite truths and falsehoods, so they cannot be used to assess probability [Newton-Smith]
     Full Idea: We cannot explicate a useful notion of verisimilitude in terms of the number of truths and the number of falsehoods generated by a theory, because they are infinite.
     From: W.H. Newton-Smith (The Rationality of Science [1981], III.4)
3. Truth / B. Truthmakers / 2. Truthmaker Relation
Examples show that truth-making is just non-symmetric, not asymmetric [David]
     Full Idea: That 'there is at least one proposition' ...is a case where something makes itself true, which generates a counterexample to the natural assumption that truth-making is asymmetric; truth-making, it seems, is merely non-symmetric.
     From: Marian David (Truth-making and Correspondence [2009], 4)
3. Truth / B. Truthmakers / 4. Truthmaker Necessitarianism
It is assumed that a proposition is necessarily true if its truth-maker exists [David]
     Full Idea: Friends of the truth-maker principle usually hold that the following states a crucial necessary condition on truth-making: if x makes y true, then, necessarily, if x exists then y is true.
     From: Marian David (Truth-making and Correspondence [2009], 2)
     A reaction: My objection is that the proposition y is taken to pre-exist, primly awaiting the facts that will award it 'truth'. An ontology that contains an infinity of propositions, most of which so far lack a truth-value, is incoherent. You can have x, but no y!
3. Truth / B. Truthmakers / 5. What Makes Truths / a. What makes truths
Two different propositions can have the same fact as truth-maker [David]
     Full Idea: Two different propositions can have the same fact as truth-maker. For example, 'L is happy or L is hungry', and 'L is happy or L is thirsty', which are both made true by the fact that L is happy.
     From: Marian David (Truth-making and Correspondence [2009], 1)
3. Truth / B. Truthmakers / 5. What Makes Truths / b. Objects make truths
What matters is truth-making (not truth-makers) [David]
     Full Idea: The term 'truthmaker' just labels whatever stands in the truth-making relation to a truth. The truth-making relation is crucial. It would have been just as well to refer to the truth-'maker' principle as the truth-'making' principle.
     From: Marian David (Truth-making and Correspondence [2009], 1)
     A reaction: This is well said. The commitment of this theory is to something which makes each proposition true. There is no initial commitment to any theories about what sorts of things do the job.
3. Truth / B. Truthmakers / 11. Truthmaking and Correspondence
Correspondence is symmetric, while truth-making is taken to be asymmetric [David]
     Full Idea: Correspondence appears to be a symmetric relation while truth-making appears to be, or is supposed to be, an asymmetric relation.
     From: Marian David (Truth-making and Correspondence [2009], Intro)
Correspondence is an over-ambitious attempt to explain truth-making [David]
     Full Idea: Truth-maker theory says that the attempt by correspondence to fill in the generic truth-maker principle with something more informative fails. It is too ambitious, offering a whole zoo of funny facts that are not needed.
     From: Marian David (Truth-making and Correspondence [2009], 1)
     A reaction: A typical funny fact is a disjunctive fact, which makes 'he is hungry or thirsty' true (when it can just be made true by the simple fact that he is thirsty).
Correspondence theorists see facts as the only truth-makers [David]
     Full Idea: Correspondence theorists are committed to the view that, since truth is correspondence with a fact, only facts can make true propositions true.
     From: Marian David (Truth-making and Correspondence [2009], 4)
3. Truth / C. Correspondence Truth / 1. Correspondence Truth
A proposition is true if its subject and predicate stand for the same thing [William of Ockham]
     Full Idea: If in the proposition 'This is an angel' subject and predicate stand for the same thing, the proposition is true.
     From: William of Ockham (Summa totius logicae [1323], II.c.ii)
     A reaction: An interesting statement of what looks like a correspondence theory, employing the idea that both the subject and the predicate have a reference. I think Frege would say that 'x is an angel' is unsaturated, and so lacks reference.
Correspondence theory likes ideal languages, that reveal the structure of propositions [David]
     Full Idea: Correspondence theorists tend to promote ideal languages, ...which is intended to mirror perfectly the structure of the propositions it expresses.
     From: Marian David (Truth-making and Correspondence [2009], n 03)
3. Truth / C. Correspondence Truth / 2. Correspondence to Facts
What makes a disjunction true is simpler than the disjunctive fact it names [David]
     Full Idea: The proposition that 'L is happy or hungry' can be made true by the fact that L is happy. This does not have the same complexity or constituent structure as the proposition it makes true.
     From: Marian David (Truth-making and Correspondence [2009], 1)
One proposition can be made true by many different facts [David]
     Full Idea: One proposition can be made true by many different facts (such as 'there are some happy dogs').
     From: Marian David (Truth-making and Correspondence [2009], 1)
3. Truth / G. Axiomatic Truth / 1. Axiomatic Truth
Ockham had an early axiomatic account of truth [William of Ockham, by Halbach]
     Full Idea: Theories structurally very similar to axiomatic compositional theories of truth can be found in Ockham's 'Summa Logicae'.
     From: report of William of Ockham (Summa totius logicae [1323]) by Volker Halbach - Axiomatic Theories of Truth 3
5. Theory of Logic / G. Quantification / 1. Quantification
The word 'every' only signifies when added to a term such as 'man', referring to all men [William of Ockham]
     Full Idea: The syncategorematic word 'every' does not signify any fixed thing, but when added to 'man' it makes the term 'man' stand for all men actually.
     From: William of Ockham (Summa totius logicae [1323], I.c.iv)
     A reaction: Although quantifiers may have become a part of formal logic with Frege, their importance is seen from Aristotle onwards, and it is clearly a key part of William's understanding of logic.
6. Mathematics / C. Sources of Mathematics / 5. Numbers as Adjectival
Just as unity is not a property of a single thing, so numbers are not properties of many things [William of Ockham]
     Full Idea: Number is nothing but the actual numbered things themselves. Hence just as unity is not an accident added to the thing which is one, so number is not an accident of the things which are numbered.
     From: William of Ockham (Summa totius logicae [1323], I.c.xliv)
     A reaction: [William does not necessarily agree with this view] It strikes me as a key point here that any account of the numbers had better work for 'one', though 'zero' might be treated differently. Some people seem to think unity is a property of things.
7. Existence / A. Nature of Existence / 3. Being / g. Particular being
The words 'thing' and 'to be' assert the same idea, as a noun and as a verb [William of Ockham]
     Full Idea: The words 'thing' and 'to be' (esse) signify one and the same thing, but the one in the manner of a noun and the other in the manner of a verb.
     From: William of Ockham (Summa totius logicae [1323], III,II,c,xxvii)
     A reaction: Well said - as you would expect from a thoroughgoing nominalist. I would have thought that this was the last word on the subject of Being, thus rendering any need for me to read Heidegger quite superfluous. Or am I missing something?
8. Modes of Existence / A. Relations / 4. Formal Relations / a. Types of relation
A reflexive relation entails that the relation can't be asymmetric [David]
     Full Idea: An asymmetric relation must be irreflexive: any case of aRa will yield a reductio of the assumption that R is asymmetric.
     From: Marian David (Truth-making and Correspondence [2009], 4)
8. Modes of Existence / E. Nominalism / 1. Nominalism / b. Nominalism about universals
Universals are single things, and only universal in what they signify [William of Ockham]
     Full Idea: Every universal is one particular thing and it is not a universal except in its signification, in its signifying many thing.
     From: William of Ockham (Summa totius logicae [1323]), quoted by Claude Panaccio - Medieval Problem of Universals 'William'
     A reaction: Sounds as if William might have liked tropes. It seems to leave the problem unanswered (the 'ostrich' problem?). How are they able to signify in this universal way, if each thing is just distinct and particular?
9. Objects / D. Essence of Objects / 6. Essence as Unifier
If essence and existence were two things, one could exist without the other, which is impossible [William of Ockham]
     Full Idea: If essence and existence were two things, then no contradiction would be involved if God preserved the essence of a thing in the world without its existence, or vice versa, its existence without its essence; both of which are impossible.
     From: William of Ockham (Summa totius logicae [1323], III,II,c,xxvii)
     A reaction: Not that William is using the concept of a supreme mind as a tool in argument. His denial of essence as something separable is presumably his denial of the Aristotelian view of universals, as well as of the Platonic view.
10. Modality / C. Sources of Modality / 1. Sources of Necessity
De re necessity arises from the way the world is [Newton-Smith]
     Full Idea: A necessary truth is 'de re' if its necessity arises from the way the world is.
     From: W.H. Newton-Smith (The Rationality of Science [1981], VII.6)
11. Knowledge Aims / A. Knowledge / 4. Belief / a. Beliefs
We must assess the truth of beliefs in identifying them [Newton-Smith]
     Full Idea: We cannot determine what someone's beliefs are independently of assessing to some extent the truth or falsity of the beliefs.
     From: W.H. Newton-Smith (The Rationality of Science [1981], X.4)
13. Knowledge Criteria / E. Relativism / 6. Relativism Critique
Defeat relativism by emphasising truth and reference, not meaning [Newton-Smith]
     Full Idea: The challenge of incommensurability can be met once it is realised that in comparing theories the notions of truth and reference are more important than that of meaning.
     From: W.H. Newton-Smith (The Rationality of Science [1981], I.6)
14. Science / A. Basis of Science / 1. Observation
A full understanding of 'yellow' involves some theory [Newton-Smith]
     Full Idea: A full grasp of the concept '…is yellow' involves coming to accept as true bits of theory; that is, generalisations involving the term 'yellow'.
     From: W.H. Newton-Smith (The Rationality of Science [1981], II.2)
14. Science / A. Basis of Science / 5. Anomalies
All theories contain anomalies, and so are falsified! [Newton-Smith]
     Full Idea: According to Feyerabend all theories are born falsified, because no theory has ever been totally free of anomalies.
     From: W.H. Newton-Smith (The Rationality of Science [1981], III.9)
The anomaly of Uranus didn't destroy Newton's mechanics - it led to Neptune's discovery [Newton-Smith]
     Full Idea: When scientists observed the motion of Uranus, they did not give up on Newtonian mechanics. Instead they posited the existence of Neptune.
     From: W.H. Newton-Smith (The Rationality of Science [1981], III.9)
Anomalies are judged against rival theories, and support for the current theory [Newton-Smith]
     Full Idea: Whether to reject an anomaly has to be decided on the basis of the availability of a rival theory, and on the basis of the positive evidence for the theory in question.
     From: W.H. Newton-Smith (The Rationality of Science [1981], III.9)
14. Science / B. Scientific Theories / 1. Scientific Theory
Why should it matter whether or not a theory is scientific? [Newton-Smith]
     Full Idea: Why should it be so important to distinguish between theories that are scientific and those that are not?
     From: W.H. Newton-Smith (The Rationality of Science [1981], IV.3)
14. Science / B. Scientific Theories / 5. Commensurability
If theories are really incommensurable, we could believe them all [Newton-Smith]
     Full Idea: If theories are genuinely incommensurable why should I be faced with the problem of choosing between them? Why not believe them all?
     From: W.H. Newton-Smith (The Rationality of Science [1981], VII.1)
19. Language / D. Propositions / 4. Mental Propositions
Some concepts for propositions exist only in the mind, and in no language [William of Ockham]
     Full Idea: Conceptual terms and the propositions formed by them are those mental words which do not belong to any language; they remain only in the mind and cannot be uttered exteriorly, though signs subordinated to these can be exteriorly uttered.
     From: William of Ockham (Summa totius logicae [1323], I.c.i)
     A reaction: [He cites Augustine] A glimmer of the idea of Mentalese, and is probably an integral part of any commitment to propositions. Quine would hate it, but I like it. Logicians seem to dislike anything that cannot be articulated, but brains are like that.
20. Action / C. Motives for Action / 3. Acting on Reason / c. Reasons as causes
Explaining an action is showing that it is rational [Newton-Smith]
     Full Idea: To explain an action as an action is to show that it is rational.
     From: W.H. Newton-Smith (The Rationality of Science [1981], X.2)