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Topic: Mathesis universalis

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Universal characteristic

Gottfried Wilhelm Leibniz

Calculus ratiocinator

Descartes

	Mathesis Universalis: the Search for a Universal Science
		Marciszewski Witold, "The principle of comprehension as a present-day contribution to mathesis universalis," Philosophia Naturalis 21: 523-537 (1984).
		Mathesis universalis is closely linked with mathematical analysis; the theorem to be proved is taken as given, and the analyst seeks to discover that from which the theorem follows.
		The characteristica universalis was never completed-it proved impossible, for example, to list its basic terms, the 'alphabet of human thoughts'-but parts of it did come to fruition, in the shape of Leibniz's infinitesimal calculus and his various logical calculi.
	www.formalontology.it /mathesis-universalis.htm (3245 words)

	Mathesis universalis - Wikipedia, the free encyclopedia
		Mathesis universalis (Greek mathesis - science, Latin universalis - universal) is a hypothetical universal science modelled on mathematics envisaged by Leibniz and Descartes.
		It would be supported by a Calculus ratiocinator.
		Predicate logic could be seen as a modern system with some of these universal characteristics, at least as far as mathematics and computer science are concerned.
	en.wikipedia.org /wiki/Mathesis_universalis (134 words)

	Math Forum Discussions
		reates a new genre; the "mathesis universalis", thus understood, is not the
		branchs of mathematics : the mathesis prima (sive universalis).
		mathesis universalis is not a new object, but "order" and "measure".
	www.mathforum.org /kb/message.jspa?messageID=1178042&tstart=0 (934 words)

	20th WCP: The Heuristic Function of the Axiomatic Method
		This axiomatic method is usually restricted to a non-philosophical approach to pure mathematics ('formalism').
		But Hilbert was not an exclusive formalist; he proposed a mathesis universalis in the Cartesian-Leibnizian sense according to which mathematics is the syntactical tool for a general philosophy of science, applicable to all scientific disciplines.
		But Hilbert was not an exclusive formalist, he proposed a mathesis universalis in the Descartes-Leibnizian sense according to which mathematics is the syntactical tool for a general philosophy of science, applicable to all scientific disciplines.
	www.bu.edu /wcp/Papers/Scie/SciePeck.htm (1249 words)

	aici se innegureaza (Site not responding. Last check: 2007-10-24)
		Many texts recommend Culianu as a scholar whose main interest was that of promoting a new method of research for the history of religions and the philosophy of culture, and these references are not made only to his latest works, but also to his early ones.
		Culianu's research firmly outstrips the classical canons of this discipline, constituting a kind of frontier research, thus anticipating a new paradigm, where important things happen at the intersection of great researches, that is on the frontier.
		That's why it was said that after 1986 Culianu would pass from a local method (“a hermeneutic based upon explicative principles”2) to a mathesis universalis (“a universal principle of explaining any spiritual phenomenon, judging from its cognitive mechanism of engendering”3).
	www.negura.ro /uk_ideology/article_fractalsreligions.htm (3459 words)

	From Number Mysticism to the Maßformel
		The Mathesis universalis – which Max Bense appropriately characterized as “generalized mathematics of non-mathematical objects” – became a Leitfigur that shaped the entire tradition of modern natural science and its relation to mathematics from Pythagoras, Kepler, Descartes, Leibniz and Newton.
		It is now an independent research area, which in the tradition of Mathesis universalis includes all the sciences that, according to Descartes, “examine measurement and order”, regardless of whether we examine psychological, physical or economical magnitudes.
		In the great tradition of Mathesis universalis and right from the beginning as the central Leitmotif in the evolution of the natural sciences, Fechner’s achievements are extraordinary, though he himself would probably accuse us of misrepresenting his dearest ambition.
	www.uni-leipzig.de /~isp/isp/history/texts/nmtmf.htm (5467 words)

	MATHESIS UNIVERSALIS AMOR DEI INTELLECTUALIS
		Mathesis universalis sive itinerarium mentis in Deum toposophicum
		Mais bien entendu le thème (ou le rêve ??) de la mathesis universalis qui est poursuivi ici n'a rien à voir avec cela...
		Mais concevoir la mathesis universalis comme un "jeu" ne nous semble aucunement scandaleux, si nous faisons le rapprochement avec la fameuse pensée d'Héraclite (citée par Nietzsche) sur "Dieu comme un enfant qui joue"...voir aussi "L'Esprit qui construit et déconstruit" chez Abellio et la "Fosse de Babel"....
	mathesisuniversalis.blogg.org (2724 words)

	Stoichiometry (Concept of Jeremias Benjamin Richter)
		He tried to formulate over the geometrical and arithmetic numbers of the Timaios-Cosmology or over the triangular series of the Pythagorean >Tetraktys< chemistry laws whereby the law of the constant proportions was represented as synthesis of two apriori valid geometrical or arithmetic series.
		The same mathematical structures, with which Richter formulated its stoichiometric laws, were taken into consideration in the poetic arts of the baroque age (vid.
		but >the Mathesis Universalis< as (pure, purposefrees) total science of a Christian-Platonic science theory, because Richter under all circumstances tried to formulate its chemical phenomena over firmly given sets of mathematical structures (`Characteristica Universalis ').
	www.geocities.com /Athens/Marble/1987/stoichiometry_richter.html (1089 words)

	Department of Logic, Informatics and Philosophy of Science, University of Bialystok, Poland - HISTORY
		The latter was most influenced by two personalities: that of the Head himself who contributed philosophical knowledge and inspirations as well as some text-processing technologies, and Dr. Andrzej Trybulec (runs Applied Logic Section in the Institute of Informatics) who contributed his project MIZAR concerning automated deduction (see Mathesis Universalis No.3).
		In 1995 the Department organized the 2nd International Workshop on automated reasoning in which took part John MacCarthy, the greatest champion in this domain (see Mathesis Universalis No.1, items 2-3, 2-4, the latter containing a picture of participants).
		In 1997-99 a grant: "Research on natural and artificial intelligence by the automated reasoning" (8 T11C 018 12) received from KBN (Polish Ministry of Science) concerning applications of mechanized reasoning in AI and N(atural)I research.
	logic.uwb.edu.pl /history.htm (651 words)

	PowerPoint Presentation
		This time there is no reference to Sextus Empiricus and the charge of mathematical scepticism is not reiterated.
		1657: Wallis publishes Mathesis Universalis, a general treatise on the nature of mathematics and its history.
		1660: Hobbes’s Emendatio Mathematicae Hodiernae is a full criticism of Wallis’ Oratio and Mathesis Universalis, which had been published together in 1657 as Wallis’ Operum Mathematicorum Pars Prima.
	www.wolfson.ox.ac.uk /~floridi/pdf/ms3_files/slide0035.htm (225 words)

	MY LAST TAPE
		Because of this axiomatic reduction to a common language all data can be translated in any other.
		This infinite translation reiterates the westen fantasize of a mathesis universalis in an universe, the one of the computer, that doesn't need to confront itself to an external world since all occurs on a screen.
		Between the choice of the text, as arbitrary as the mathesis computer universalis, and the final product, a tapea double curls is achieved.
	www.incident.net /works/my_last_tape/home/haut.htm (188 words)

	Advances in the Philosophy of Technology
		I finish with an outlook on the technical evolution of computer-assisted complex societies at the turn of the century.
		The idea of universal computability dates back to the concept of a mathesis universalis in the 17th century.
		Then we are able to define effective procedures of decision and enumerability, which were already demanded by Leibniz's program of a mathesis universalis.
	scholar.lib.vt.edu /ejournals/SPT/v4_n1html/MAINZER.html (4682 words)

	Truth Criteria in the Transcendental Analytic (Site not responding. Last check: 2007-10-24)
		The argument is aimed at the programme of mathesis universalis and, in particular, at Wolff’s attempts to formulate a criterion using the meagre resources of general logic.
		This paper examines how Kant uses that argument to introduce the idea of a transcendental logic and then to realize its analytic.
		The paper’s final section considers how Kant’s concern to distance himself from the ambitions of mathesis universalis leads him to obscure his true position regarding criteria of truth.
	www.msu.edu /user/rauscher/RosenkoetterAbstract.htm (286 words)

	Husserl, Phenomenology, Wesenschau \| Current Shop - Das Verhältnis der Mathesis universalis zur Logik als ... (Site not responding. Last check: 2007-10-24)
		Current Shop - Das Verhältnis der Mathesis universalis zur Logik als Wissenschaftstheorie bei E. Husserl (European university studies.
		Das VerhÃ¤ltnis der Mathesis universalis zur Logik als Wissenschaftstheorie bei E. Husserl (European university studies.
		Books : Das VerhÃ¤ltnis der Mathesis universalis zur Logik als Wissenschaftstheorie bei E. Husserl (European university studies.
	www.husserl.info /buy-3631322208.html (97 words)

	Math Forum Discussions
		"number" as well as his Mathesis univesalis (pp.
		Diophantus, which is made by transforming the "katholou pragmateia" (general
		treatment of problems) of Greek mathematics into a mathesis universalis in
	www.mathforum.org /kb/message.jspa?messageID=1178040&tstart=0 (220 words)

	[No title] (Site not responding. Last check: 2007-10-24)
		Numerals for the expression of numbers in the ideo-quinary notation, and hence a mathesis universalis.
		That which precedes everything and occurs if nothing else does.
		Those who are adept in coining new Latin-Greek may think of a name for that.
	www.visibleandinvisible.com /ifss/IQNumbers.htm (204 words)

	BIALYSTOK UNIV. PL * MATHESIS UNIVERSALIS, No.7, 1998 * W.Marciszewski: Post's Problem of Creativity
		IncyWincy is not responsible for the content authored on this cached page.
		BIALYSTOK UNIV. PL * MATHESIS UNIVERSALIS, No.7, 1998 * W.Marciszewski: Post's Problem of Creativity
		When using any part of this text - by Witold Marciszewski - refer, please, to the URL listed at the bottom
	www.incywincy.com /default?catid=364874&cached=www.calculemus.org/MathUniversalis/7/09marci.html (3149 words)

	BIALYSTOK UNIV. PL * MATHESIS UNIVERSALIS, No.5, 1998 * Index
		Gabriel Falkenberg is the author of the thorough and imaginative
		essay on the Lvov-Warsaw School written specially for Mathesis Universalis.
		His output is summed up by his friend and close collaborator - the head of the Chair of Formal Linguistics at Warsaw University.
	www.calculemus.org /MathUniversalis/5 (152 words)

	Visual Perception \| People \| Mausfeld
		Von der Zahlenmetapher zur Maßformel: Fechners Psychophysik in der Tradition der Mathesis universalis [pdf]
		From Number Mysticism to the Maßformel: Fechner's Psychophysics in the Tradition of Mathesis universalis.
		Can the internal structure of perception be derived from regularities of the external world?
	www.psychologie.uni-kiel.de /psychophysik/mausfeld.html (231 words)

	BIALYSTOK UNIV. PL * MATHESIS UNIVERSALIS * Note on the Publisher (Site not responding. Last check: 2007-10-24)
		BIALYSTOK UNIV. PL * MATHESIS UNIVERSALIS * Note on the Publisher
		The establishing of Mathesis Universalis in this form would not have been possible without Mr.
		Jarek Sokolowski to whom we owe the Linux installation, most suitable tools, and generous help whenever any problem arises.
	www.calculemus.org /MathUniversalis/publish.html (53 words)

	A Browsable Format for Proof Presentation
		The on-line version also contains an extended example that could not be presented in the paper version.
		@ARTICLE{Grundy:1996:ABF, author = "Jim Grundy", title = "A Browsable Format for Proof Presentation", journal = "Mathesis Universalis", year = 1996, volume = 1, number = 2, month = "Spring"}
		If you liked this paper, then you might also like the following papers which cite it:
	cs.anu.edu.au /~Jim.Grundy/Publications/lmc96.html (369 words)

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