Wallis published a comprehensive treatise on the general principles of calculus ( " Mathesis universalis ", 1657 ).
2.
Descartes'clearest description of the " mathesis universalis " occurs in Rule IV of the Rules for the Direction of the Mind, written before 1628.
3.
More generally, " mathesis universalis ", along with perhaps Fran�ois Vi�te's algebra, represents one of the earliest attempts to construct a formal system.
4.
It is a possible source of developments in John Wallis, " Mathesis Universalis " ( 1657 ), relating to geometric progressions treated as an axiomatic theory.
5.
Leibniz conceived of a " characteristica universalis " ( also see " mathesis universalis " ), an " algebra " capable of expressing all conceptual thought.
6.
Leibniz attempts to work out the possible connections between algebra, infinitesimal calculus, and universal character in an incomplete treatise titled " " Mathesis Universalis " " in 1695.
7.
:When a comparison in terms of ratio is made, the resultant ratio often [ namely with the exception of the'numerical genus'itself ] leaves the genus of quantities compared, and passes into the numerical genus, whatever the genus of quantities compared may have been . ( John Wallis, " Mathesis Universalis ")
8.
John Wallis, in his " Mathesis universalis ", generalized this notation to include higher multiples of 60; giving as an example the number; where the numbers to the left are multiplied by higher powers of 60, the numbers to the right are divided by powers of 60, and the number marked with the superscripted zero is multiplied by 1.
9.
This'ideal'Kuhlmann poetic form, a parataxis, permutating, combinato mechanically combined to produce a clear expression of concepts and thus'Mathesis universalis'whereby all variations keep their sense, no'new'sense with a new message is produced and thereby to ascribe the powers of invention to a transcendent, combinatory God who alone has world and time enough to read all the sonnet's redundant permutations.
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