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Speculative Philosophy is the endeavour to frame a coherent, logical, necessary system of general ideas in terms of which every element of our experience can be interpreted. By this notion of 'interpretation' I mean that everything of which we are conscious, as enjoyed, perceived, willed, or thought, shall have the character of a particular instance of the general scheme.
--
The Logic of Perfection and Other Essays in Neoclassical Metaphysics (1962) p. viii.

 

Charles Hartshorne

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Pure Mathematics is the class of all propositions of the form “p implies q,” where p and q are propositions containing one or more variables, the same in the two propositions, and neither p nor q contains any constants except logical constants. And logical constants are all notions definable in terms of the following: Implication, the relation of a term to a class of which it is a member, the notion of such that, the notion of relation, and such further notions as may be involved in the general notion of propositions of the above form. In addition to these, mathematics uses a notion which is not a constituent of the propositions which it considers, namely the notion of truth.

 

Bertrand Russell

 

I used to say that, as Solicitor General, I made three arguments in every case. First came the one I had planned – as I thought, logical, coherent, complete. Second was the one actually presented – interrupted, incoherent, disjointed, disappointing. The third was the utterly devastating argument that I thought of after going to bed that night…

 

Robert H. Jackson

 

The chief end of a man is to frame general ideas — and... no general idea is worth a damn.

 

Oliver Wendell Holmes

 

Pure mathematics is, in its way, the poetry of logical ideas. One seeks the most general ideas of operation which will bring together in simple, logical and unified form the largest possible circle of formal relationships. In this effort toward logical beauty spiritual formulas are discovered necessary for the deeper penetration into the laws of nature.

 

Albert Einstein

 

Wherever ideas come together they tend to weld into general ideas; and whenever they are generally connected, general ideas govern the connection; and these general ideas are living feelings spread out.

 

Charles Sanders Peirce