El razonamiento lógico obedece a un encadenamiento de premisas en las que las reglas aceptadas como válidas se aplican, eslabón por eslabón, hasta producir las conclusiones, que es lo que se denomina la consecuencia lógica.
Esta monografía presenta, por vez primera en el campo internacional, una mirada sintética sobre el amplísimo espectro de las matemáticas contemporáneas, junto con un análisis de los nuevos problemas filosóficos que allí se originan.
Las nociones de número y de sistema numérico son el hilo conductor de una exposición matemática en la que subyace un objetivo filosófico aún más general y ambicioso: ofrecer una posible respuesta a la pregunta qué son y de qué tratan las matemáticas.
El imaginario sociocultural de muchos profesores de matemáticas frente a sus grupos de estudiantes señala que los jóvenes son gente perezosa o sin aptitudes para sus asignaturas.
Entre los siglos XV y XVIII Europa fue escenario de una serie de novedades, cambios o transformaciones en los saberes acerca de la naturaleza, en los procedimientos y métodos empleados para describirla y explicar sus procesos, y en la manera de organizar las actividades o prácticas relacionadas con estos saberes.
Zadig Or, The Book of Fate Voltaire - Zadig; or, The Book of Fate (French: Zadig ou la Destinee; 1747) is a novella and work of philosophical fiction by the Enlightenment writer Voltaire.
The New Organon Francis Bacon - The Novum Organum, full original title Novum Organum Scientiarum, is a philosophical work by Francis Bacon, written in Latin and published in 1620.
An Enquiry Concerning Human Understanding David Hume - An Enquiry Concerning Human Understanding is a book by the Scottish empiricist philosopher David Hume, published in English in 1748.
Perpetual Peace: A Philosophical Essay Immanuel Kant - Immanuel Kant was a German philosopher from Konigsberg (today Kaliningrad of Russia), researching, lecturing and writing on philosophy and anthropology at the end of the 18th Century Enlightenment.
Lange Latte & Genossen Rudyard Kipling - Das Werk "Lange Latte und Genossen" ist eine Sammlung von zusammenhängenden Kurzgeschichten, geschrieben von Rudyard Kipling.
»Der absolute Prinz der Dunkelheit der modernen Mathematik« David Foster Wallace über Kurt GödelMit seinem Unvollständigkeitssatz stürzte Kurt Gödel die Mathematik in ihre schwerste Krise: Er entdeckte, dass jedes sinnvolle logische System Sätze enthalten muss, die wahr, aber niemals beweisbar sind.
Cassirer hätte den Satz, daß Wissenschaftsgeschichte ohne Wissenschaftstheorie blind und Wissenschaftstheorie ohne Wissenschaftsgeschichte leer sei, ohne Einschränkung unterschrieben.
ABHANDLUNGEN Salvatore Giammusso: Friendship with oneself and the Virtues of Giving in Aristotle's Ethics Jens Lemanski: Der Philosophiebegriff im florentinischen Renaissanceplatonismus zwischen Pythagoreismus und Aristotelismus Esther Ramharter: Formeln.
Die "Paradoxien des Unendlichen" sind ein Klassiker der Philosophie der Mathematik und zugleich eine gute Einführung in das Denken des "Urgroßvaters" der analytischen Philosophie.
Philosophen und Mathematiker hat das Nachsinnen über das Wesen des Unendlichen buchstäblich den Verstand geraubt – und dennoch ist es ein Konzept, das immer wieder unser Leben bestimmt.
Unter Physikern und Mathematikern sind sie legendär geworden, die Spaziergänge über den Campus von Princeton, die den fast 70-jährigen Albert Einstein und den 25 Jahre jüngeren Ausnahme-Mathematiker Kurt Gödel verbanden.
A new approach to understanding nonlinear dynamics and strange attractors The behavior of a physical system may appear irregular or chaotic even when it is completely deterministic and predictable for short periods of time into the future.
Everything you need to know about 100 key mathematical concepts condensed into easy-to-understand sound bites designed to stick in your memory and give you an instant grasp of the concept.
A mathematical sightseeing tour of the natural world from the author of THE MAGICAL MAZEWhy do many flowers have five or eight petals, but very few six or seven?
Protagoras - Plato - Plato is a Classical Greek philosopher, mathematician, student of Socrates, writer of philosophical dialogues, and founder of the Academy in Athens, the first institution of higher learning in the Western world.
Why bother to praise mathematics when you claim, as Alain Badiou does, that philosophy is first and foremost a metaphysics of happiness, or else it s not worth an hour of trouble?
When a doctor tells you there's a one percent chance that an operation will result in your death, or a scientist claims that his theory is probably true, what exactly does that mean?
A compelling firsthand account of Keith Devlin's ten-year quest to tell Fibonacci's storyIn 2000, Keith Devlin set out to research the life and legacy of the medieval mathematician Leonardo of Pisa, popularly known as Fibonacci, whose book Liber abbaci has quite literally affected the lives of everyone alive today.
Berto's highly readable and lucid guide introduces students and the interested reader to G del's celebrated Incompleteness Theorem, and discusses some of the most famous - and infamous - claims arising from G del's arguments.
Berto's highly readable and lucid guide introduces students and the interested reader to G del's celebrated Incompleteness Theorem, and discusses some of the most famous - and infamous - claims arising from G del's arguments.
Based on extensive research in Sanskrit sources, Mathematics in India chronicles the development of mathematical techniques and texts in South Asia from antiquity to the early modern period.
Why narrative is essential to mathematicsCircles Disturbed brings together important thinkers in mathematics, history, and philosophy to explore the relationship between mathematics and narrative.
A sophisticated, original introduction to the philosophy of mathematics from one of its leading contemporary scholarsMathematics is one of humanity's most successful yet puzzling endeavors.
Topics in Commutative Ring Theory is a textbook for advanced undergraduate students as well as graduate students and mathematicians seeking an accessible introduction to this fascinating area of abstract algebra.
