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Single Idea 6339

[filed under theme 5. Theory of Logic / E. Structures of Logic / 1. Logical Form ]

Full Idea

The logical forms of the sentences in a language are those aspects of their meanings that determine the relations of deductive entailment holding amongst them.

Clarification

An 'entailment' is a valid step in logical reasoning

Gist of Idea

Logical form is the aspects of meaning that determine logical entailments

Source

Paul Horwich (Truth (2nd edn) [1990], Ch.6.30)

Book Ref

Horwich,Paul: 'Truth (2nd edn)' [OUP 1998], p.88


A Reaction

A helpful definition. Not all sentences, therefore, need to have a 'logical form'. Is the logical form the same as the underlying proposition. The two must converge, given that propositions lack the ambiguity that is often found in sentences.


The 23 ideas from Paul Horwich

Probability of H, given evidence E, is prob(H) x prob(E given H) / prob(E) [Horwich]
Bayes' theorem explains why very surprising predictions have a higher value as evidence [Horwich]
Analyse counterfactuals using causation, not the other way around [Horwich]
Problems with Goodman's view of counterfactuals led to a radical approach from Stalnaker and Lewis [Horwich]
A priori knowledge (e.g. classical logic) may derive from the innate structure of our minds [Horwich]
Meanings and concepts cannot give a priori knowledge, because they may be unacceptable [Horwich]
Understanding needs a priori commitment [Horwich]
How do we determine which of the sentences containing a term comprise its definition? [Horwich]
Meaning is generated by a priori commitment to truth, not the other way around [Horwich]
A priori belief is not necessarily a priori justification, or a priori knowledge [Horwich]
If we stipulate the meaning of 'number' to make Hume's Principle true, we first need Hume's Principle [Horwich]
Horwich's deflationary view is novel, because it relies on propositions rather than sentences [Horwich, by Davidson]
The common-sense theory of correspondence has never been worked out satisfactorily [Horwich]
No deflationary conception of truth does justice to the fact that we aim for truth [Horwich]
The deflationary picture says believing a theory true is a trivial step after believing the theory [Horwich]
The function of the truth predicate? Understanding 'true'? Meaning of 'true'? The concept of truth? A theory of truth? [Horwich]
The redundancy theory cannot explain inferences from 'what x said is true' and 'x said p', to p [Horwich]
We could know the truth-conditions of a foreign sentence without knowing its meaning [Horwich]
Logical form is the aspects of meaning that determine logical entailments [Horwich]
There are Fregean de dicto propositions, and Russellian de re propositions, or a mixture [Horwich]
Right translation is a mapping of languages which preserves basic patterns of usage [Horwich]
Some correspondence theories concern facts; others are built up through reference and satisfaction [Horwich]
Truth is a useful concept for unarticulated propositions and generalisations about them [Horwich]