Could logic be empirical The Putnam Kripke debate?
Could logic be empirical The Putnam Kripke debate?
It suggests the possibility of a “middle way” between Putnam and Kripke: a way in which logic could be broadly a priori but in which empirical considerations could still bear on our views about the logical structure of the world. In particular, considerations drawn from quantum mechanics might provide an example.
Is logic empirical Hilary Putnam?
“Is Logic Empirical?” is the title of two articles (one by Hilary Putnam and another by Michael Dummett) that discuss the idea that the algebraic properties of logic may, or should, be empirically determined; in particular, they deal with the question of whether empirical facts about quantum phenomena may provide …
Does quantum mechanics violate classical logic?
Quantum mechanics does not destroy our ability to do rational argument, or maths, or propositional logic or whatever. Applying propositional logic to reality will sometimes have to take into account that the relevant statements are about relations between multiple versions of the same object.
What is empirical logic?
Logical knowledge is empirical knowledge that is not generally a priori. It is empirical knowledge of (some) a priori truths and principles of our conceptual systems. Logical systems are empirical theories of these truths and principles.
Is quantum logic a logic?
Broadly speaking, quantum logic is meant to be a kind of formal logic that is to traditional formal logic as quantum mechanics is to classical mechanics: a formal framework which is supposed to be able to express the statements whose semantics is the totality of all what is verifiable by measurement in a quantum system …
Is logic an empirical science?
Logic concerns the actual truth of premises. The premises of an argument are supposed to provide evidence for the conclusion. The premises of a valid argument must be true. Logic is an empirical science.
Is quantum mechanics a probability theory?
Mathematically, quantum mechanics can be regarded as a non-classical probability calculus resting upon a non-classical propositional logic.
Why is logical positivism wrong?
One of the main objections raised by critics of positivism is an accusation of inconsistency; its fundamental principles, in fact, are propositions obviously not empirically verifiable and equally obviously not tautological.
What is natural logic?
Natural Logic attempts to do formal reasoning in natural language making use of syn- tactic structure and the semantic properties of lexical items and constructions. It con- trasts with approaches that involve a translation from a natural to a formal language such as predicate calculus or a higher-order logic.
What are the natural homomorphisms in Kripke semantics?
The natural homomorphisms in Kripke semantics are called p-morphisms (which is short for pseudo-epimorphism, but the latter term is rarely used). A p-morphism of Kripke frames
What is Kripke’s contribution to semantics?
The development of Kripke semantics was a breakthrough in the theory of non-classical logics, because the model theory of such logics was almost non-existent before Kripke (algebraic semantics existed, but were considered ‘syntax in disguise’). (“necessarily”). The modal operator (“possibly A” is defined as equivalent to “not necessarily not A”).
What is Kripke’s model of modal logic?
In the Kripke semantics of modal logic, by contrast, a ‘model’ is not a specific ‘something’ that makes a specific modal formula true; in Kripke semantics a ‘model’ must rather be understood as a larger universe of discourse within which any modal formulae can be meaningfully ‘understood’.
Is quantum logic a bad idea?
The tale of quantum logic is not the tale of a promising idea gone bad, it is rather the tale of the unrelenting pursuit of a bad idea.” The entire mathematical complex structure of quantum mechanics is perfectly well-described and clear and understood using classical logic.