Free Philosophy of mathematics Essays and Papers

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    The philosophy of Mathematics is defined as the branch of Mathematics concerned with the assumptions, foundations, implications of mathematics to be able to provide the details about its nature and its place in people’s live. The matters in which Philosophy of Mathematics so concerned varies depending on how mathematics so useful towards the advancement of people in every society. Here, we will look at how mathematical assumptions, foundations, and its place in the society of men changes over a period

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    Philosophy in Mathematics

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    Philosophy in Mathematics Mathematics has contributed to the alteration of technology over many years. The most noticeable mathematical technology is the evolution of the abacus to the many variations of the calculator. Some people argue that the changes in technology have been for the better while others argue they have been for the worse. While this paper does not address specifically technology, this paper rather addresses influential persons in philosophy to the field of mathematics. In

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    The attitudes of persons not pursuing mathematics in modern day are more neutral, and this downturn arose due to influences like competitive exams, and peer outlooks in and out of school. There’s the tendency to supposing only right and wrong solutions in mathematics, limiting children’s aptitude in handling diverse problems and helping identify mathematics authority as a continually evolving problem solving tool (Jenner, 1988, pp. 74). However, at foundation levels this can be valuable yet undesirable

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    a secondary subject, society often views mathematics a critical subject for students to learn in order to be successful. Often times, mathematics serves as a gatekeeper for higher learning and certain specific careers. Since the times of Plato, “mathematics was virtually the first thing everyone has to learn…common to all arts, science, and forms of thought” (Stinson, 2004). Plato argued that all students should learn arithmetic; the advanced mathematics was reserved for those that would serve as

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    “Understanding is a measure of the quality and quantity of connections that a new idea has with existing ideas. The greater the number of connections to a network of ideas, the better the understanding (Van de Walle, 2007, p.27).” My philosophy of a constructivist mathematics education At what point does a student, in all intents and purposes, experience something mathematical? Does it symbolise a student that can remember a formula, write down symbols, see a pattern or solve a problem? I believe in

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    mathematicians had the good chance to change the course of mathematics more than once; Luitzen Egbertus Jan Brouwer is one of the remarkable people who managed to do so. He came as a young student where before he could finish school he had already published his first original research papers on rotations in 4-dimensional space. Brouwer was a Dutch mathematician who founded mathematical intuitionism, which is a doctrine that views the nature of mathematics as mental constructions governed by self-evident laws

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    Mathematics

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    Mathematics In an attempt to express certain basic concepts of mathematics precisely, one should consider a handful of different accepted and developed conceptions. Pythagoras, in the Fifth Century B.C., believed that the ultimate elements of reality were numbers; therefore the explanation for the existence of any object could only be explained in number. Gottlob Frege stated, in an idea referred to as logicism, that mathematics could in some sense be reduced to logic. The views of Plato state

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    and Truths Even though Aristotle’s contributions to mathematics are significantly important and lay a strong foundation in the study and view of the science, it is imperative to mention that Aristotle, in actuality, “never devoted a treatise to philosophy of mathematics” [5]. As aforementioned, even his books never truly leaned toward a specific philosophy on mathematics, but rather a form or manner in which to attempt to understand mathematics through certain truths. To better attempt to understand

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    Formalism

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    not provide us with an adequate account of mathematics. I will begin with a brief outline of the basic position before going on to discuss it. Finally, I will discuss Hilbert’s programme. In brief, formalism is the view that mathematics is the study of formal systems. This however does not tell the whole story and formalism can be divided into term formalism and game formalism (Shapiro, 2000: pp. 141-148). Term formalism is the view that mathematics is about characters or symbols. That is, the

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    Ontology of Mathematics

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    An ontological theorist generally begins his discussion with a preconceived notion of what kind of thing an object will turn out to be. Instead, we will here begin with a Thomassonian approach to the ontology of mathematics. First, let us consider what happens when we rst come to determine a mathematical proposition (which I will use synonymously with 'mathematical entitty'). A mathematician does not feel as though he creates mathematical theories. Pythagoras can hardly be thought to have created

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