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Mathematics of Totalities: an alternative to mathematics of sets
Studia Logica, 1988A propositional logic TT with the connectives \(\wedge\), \(\vee\), \(\cap\), {\#}, \(\neg\) is considered. As truth-values the collection of nonempty subsets of some set \(\Omega\) are taken. They are called totalities. (A possible interpretation is the ``volume'' of the notion.) The connective {\#} is called plexis.
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Mathematics for Makers and Mathematics for Users
2017The current crisis in the school evel mathematics education is a sign that it reaches a bifurcation point and will inevitably split into two streams:* education for a selected minority of children / young people who, in their adult lives, will be filling increasingly small share of jobs which really require mathematics competence (I call them makers ...
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Science, 1941
Der Aufsatz gibt einen Vortrag wieder, den Verf. beim Rücktritt von der Präsidentschaft der südwestlichen Abteilung der ``American Association for the Advancement of Science'' am 30. IV. 1941 gehalten hat. Er weist darauf hin, daß trotz der unbestreitbaren gegenseitigen Abhängigkeit von mathematischer und naturwissenschaftlicher Forschung eine ...
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Der Aufsatz gibt einen Vortrag wieder, den Verf. beim Rücktritt von der Präsidentschaft der südwestlichen Abteilung der ``American Association for the Advancement of Science'' am 30. IV. 1941 gehalten hat. Er weist darauf hin, daß trotz der unbestreitbaren gegenseitigen Abhängigkeit von mathematischer und naturwissenschaftlicher Forschung eine ...
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Geography, Mathematics and Mathematical Morphology
2013Mathematical Morphology (MM) has been introduced in geographical sciences during the years 1970-1980. However it did not find the same echo in the geographer community according the areas of research. Unlike remote sensing where MM tools have been used as early as in the eighties and are nowadays widespread, in the research works resorting to spatial ...
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Mathematical Intuition Vs. Mathematical Monsters*
Synthese, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Mathematics of Matter and the Mathematics of Mind
2003It has been the rich body of continuous mathematics that has made possible the development of physical theories. In Newtonian mechanics, the theory of the electromagnetic field, general relativity and quantum electrodynamics, things are continuous. Were it not for the fact that things must be measured - no small consideration, of course - each theory ...
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Synthese, 1999
In the winter semester of 1903/1904 Boltzmann gave a series of 18 lectures on the philosophy of nature at Vienna university. Two first lectures were introductory and the next sixteen were mainly devoted to mathematics as a basic tool of theoretical physics.
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In the winter semester of 1903/1904 Boltzmann gave a series of 18 lectures on the philosophy of nature at Vienna university. Two first lectures were introductory and the next sixteen were mainly devoted to mathematics as a basic tool of theoretical physics.
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Relations Between Students’ Mathematics Anxiety and Motivation to Learn Mathematics: a Meta-Analysis
Educational Psychology Review, 2021Yukiko Maeda, Qian Li, Jimena Cosso
exaly