Is Mathematical Truth Time-Dependent?

Grabiner, Judith V.

doi:10.1080/00029890.1974.11993559

Cited by 32 publications

(11 citation statements)

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“…The new goal of science was to seek mathematical formulas to describe phenomena independently of explanations. However, the path to the 'unified' discipline of modern mathematics reveals the discontinuous nature of mathematical knowledge (Foucault 1970(Foucault , 1972 with shifts in theoretical paradigms (Azzouni 1994;Grabiner 1986;Kline 1980;Tiles 1991;Wilder 1981) and intense rivalry over forms of mathematical notation as documented by Cajori (1927Cajori ( ,1952Cajori ( , 1974Cajori ( , 1991.…”

Section: Introductionmentioning

confidence: 97%

Towards a systemic functional analysis of multisemiotic mathematics texts

O’Halloran¹

1999

Semi

111

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Section: Introductionmentioning

confidence: 97%

Towards a systemic functional analysis of multisemiotic mathematics texts

O’Halloran¹

1999

Semi

111

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“…Let us return to Grabiner's (1974Grabiner's ( /1986) claim that 200 years ago mathematics education facilitated rigor. Here is her explanation.…”

Section: Systemmentioning

confidence: 94%

“…Educational problems had influenced mathematics in the past. For example, Grabiner (1974Grabiner ( /1986 explained that the need to teach mathematics to the newcomers that aroused at the end of the 18th century promoted rigor in mathematical proofs (we shall return to her arguments below).…”

Section: Beliefs and Practicesmentioning

confidence: 97%

The Definition of Mathematics: Philosophical and Pedagogical Aspects

Khait

2005

Sci Educ

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There is a strange fact that many works written with the purpose to explain what is mathematics, somehow avoid the issue. This paper is aimed at filling this gap. After discussing various descriptions of mathematics as they appear in literature, it is suggested that mathematics is an essentially linguistic activity characterized by association of words with precise meanings. Educational implications of this idea are considered in the light of (1) a strong tendency of most humans to the fuzzy way of thought as described by the dual-process theory developed by researchers of human reasoning; (2) the fact that the main mathematics-related skill needed in our computerized, informationsaturated society is a proper mind-set rather than knowledge of some facts or techniques.The proposed definition of mathematics can enrich debates on its nature, in particular, connecting natural human psychological characteristics with philosophical questions of the origin of mathematics.

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“…The modified Idealism characteristic of Peirce's Pragmatism posits relationships among signs. As Grabiner (1986) makes clear, debates among mathematicians and logicians emphasized the importance of rejecting simplistic empiricism in favor of nuanced comprehension of assumptions. The importance of axiomatic assumptions in mathematics is illustrated by Grabiner (1986).…”

Section: Pragmatism and Peirce`s Theory Of Signsmentioning

confidence: 98%

The ‘Semiotic Self’: From Peirce and Mead to Wiley and Singer

Bakker

2011

Am Soc

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Norbert Wiley (1994) provides a synthesis of Peirce's and Mead's views on the self. The Peirce-Mead ideal type model of the self involves the I and the me as well as the I and the you. Hence, at each moment we are a combined "me-I-you" in past, present and future. Milton Singer (1989) discovers the semiotic self through his anthropological research, but does not apply the concept as rigorously as one might hope. Peirce's triadic epistemology and Pragmatism is explored to frame his contribution to the semiotic self. His categories of Firstness, Secondnes and Thirdness are briefly considered. Some anecdotal information about the self in Indic Civilization is discussed. It is argued that the INSOR model can be useful. The key is to move beyond Cartesian notions and to see the semotic self as a "semiotic object," always subject to interpretation by the person engaged in symbolic interaction and exchange.

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Is Mathematical Truth Time-Dependent?

Cited by 32 publications

References 1 publication

Towards a systemic functional analysis of multisemiotic mathematics texts

Towards a systemic functional analysis of multisemiotic mathematics texts

The Definition of Mathematics: Philosophical and Pedagogical Aspects

The ‘Semiotic Self’: From Peirce and Mead to Wiley and Singer

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