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In essence, Taylor was treating two types of propositions as if they were the same, when in fact they needed to be distinguished and treated differently.
Clearly, the first two types of propositions do not provide us with absolute certainty.
The three-step proposal he advocates distinguishes between three types of propositions: evidence, beliefs and judgments.
Each category of knowledge comprises several different types of propositions, each of which has a different informational purpose.
He reduces all types of propositions to necessary affirmative propositions and discusses some of the differences between the Peripatetics and the Illuminationists regarding a number of sophisms.
I will take such types of propositions to contain tokens some of which are generally thought to be known given what we ordinarily take knowledge to be.
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Other types of proposition that are both necessary and a posteriori, according to Kripke, are statements of material origin, such as "This table is made of (a particular piece of) wood," and statements of natural-kind essence, such as "Water is H2O".
Whenever we use variables, we are already necessarily concerned with a type of propositions.
This theory is both predicative (so that in particular it lacks a type of propositions), and based on intuitionistic logic[2].
Given (1) and (2) we should have a type of propositions (as in simple type theory), and given (3) this should also be the type of all types.
(POM, ch. 53, §439, 466-7) {§6.3} weat wantantoto be clear about is the twofold method of analysis of a proposition, i.e., first taking the proposition as it stands and analyzing it, second taking the proposition as a special case of a type of propositions.
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CEO of Professional Science Editing for Scientists @ prosciediting.com