§ 1.
Linear Associative Algebra (1882)
Context: The sphere of mathematics is here extended, in accordance with the derivation of its name, to all demonstrative research, so as to include all knowledge strictly capable of dogmatic teaching. Mathematics is not the discoverer of laws, for it is not induction; neither is it the framer of theories, for it is not hypothesis; but it is the judge over both, and it is the arbiter to which each must refer its claims; and neither law can rule nor theory explain without the sanction of mathematics. It deduces from a law all its consequences, and develops them into the suitable form for comparison with observation, and thereby measures the strength of the argument from observation in favor of a proposed law or of a proposed form of application of a law.
Mathematics, under this definition, belongs to every enquiry, moral as well as physical. Even the rules of logic, by which it is rigidly bound, could not be deduced without its aid. The laws of argument admit of simple statement, but they must be curiously transposed before they can be applied to the living speech and verified by, observation.
“The legislative department is everywhere extending the sphere of its activity and drawing all power into its impetuous vortex.”
Federalist No. 48 (1 February 1788) http://en.wikisource.org/wiki/The_Federalist_Papers/No._48
1780s, Federalist Papers (1787–1788)
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James Madison 145
4th president of the United States (1809 to 1817) 1751–1836Related quotes
17 U.S. (4 Wheaton) 316, 406-407
McCulloch v. Maryland (1819)
Context: [T]he Government of the Union, though limited in its powers, is supreme within its sphere of action. This would seem to result necessarily from its nature. It is the Government of all; its powers are delegated by all; it represents all, and acts for all. Though any one State may be willing to control its operations, no State is willing to allow others to control them. The nation, on those subjects on which it can act, must necessarily bind its component parts. But this question is not left to mere reason; the people have, in express terms, decided it by saying, [p406] "this Constitution, and the laws of the United States, which shall be made in pursuance thereof," "shall be the supreme law of the land," and by requiring that the members of the State legislatures and the officers of the executive and judicial departments of the States shall take the oath of fidelity to it. The Government of the United States, then, though limited in its powers, is supreme, and its laws, when made in pursuance of the Constitution, form the supreme law of the land, "anything in the Constitution or laws of any State to the contrary notwithstanding."
The Notebooks of Leonardo Da Vinci (1938), XVII Flight
“Symbols are to the mind what tools are to the hand--an extended application of its powers.”
Dion Fortune, The Mystical Qabalah
Source: A Thousand Plateaus: Capitalism and Schizophrenia
Source: The Brotherhood of Angels and Men https://www.theosophy.world/sites/default/files/ebooks/The%20brotherhood%20of%20Angels%20and%20of%20Men%20-%20Geoffrey%20Hodson.pdf (1927)
17 U.S. (4 Wheaton) 316, 423. Regarding the Supreme Courts judicial review power in the context of the Necessary and Proper Clause.
McCulloch v. Maryland (1819)