Mathematics is one of the richest, if more abstruse, areas of higher human cognition. It is a formal system, founded on a minimum of primitive concepts, but involving cognitive mechanisms, such as blending and framing, in an iterative manner, which lead to the rich structure of “higher” mathematics. The use of such cognitive mechanisms is done in a very controlled way, so as to maintain the rigor of the discipline. It is suggested that blending and other such mechanisms are incorporated into the formal structure of the discipline. This thesis is examined via a number of examples. This has the effect that blends are easy to make in mathematics. On the other hand, before blends and other processes were incorporated into mathematics, some blends that are obvious, even necessary, in hindsight, have taken a long time — sometimes centuries — to be realized. We hypothesis there is a cognitive cost to actualizing blends, which must be overcome. This phenomenon is investigated via the historical record.
Contents
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Requires Authentication UnlicensedBlending in mathematicsLicensedSeptember 29, 2011
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Requires Authentication UnlicensedFilm as specific signifying practice: A rational reconstruction of Stephen Heath's “On screen, in frame: Film and ideology”LicensedSeptember 29, 2011
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Requires Authentication UnlicensedQuarantineLicensedSeptember 29, 2011
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Requires Authentication UnlicensedAn inconvenient truth? Can a film really affect psychological mood and our explicit attitudes towards climate change?LicensedSeptember 29, 2011
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Requires Authentication UnlicensedCrime and punishment: An analysis of university plagiarism policiesLicensedSeptember 29, 2011
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Requires Authentication UnlicensedThe materiality of discourses and the semiotics of materials: A social perspective on the meaning potentials of written texts and furnitureLicensedSeptember 29, 2011
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Requires Authentication UnlicensedReading movies as interactive messages: A proposal for a new method of analysisLicensedSeptember 29, 2011
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Requires Authentication UnlicensedFame and politics: The persuasive poetics of leadershipLicensedSeptember 29, 2011
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Requires Authentication UnlicensedCosmos and creativity: Man in an evolving universe as a creative, aesthetical agent — some Peircean remarksLicensedSeptember 29, 2011
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Requires Authentication UnlicensedNonwestern semiotics and its possible impact on the composition of semiotics theory in the futureLicensedSeptember 29, 2011
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Requires Authentication UnlicensedIT terminology, translation, and semiotic levels: Cultural, lexicographic, and linguistic problemsLicensedSeptember 29, 2011
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Requires Authentication UnlicensedFormation of interpretants in Roentgen semioticsLicensedSeptember 29, 2011
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Requires Authentication UnlicensedAutomation of the linguistic translation processes: A study on viabilityLicensedSeptember 29, 2011
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Requires Authentication UnlicensedAn excess of signification: Or, what is an event?LicensedSeptember 29, 2011
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Requires Authentication UnlicensedThe illustration of beauty: Super-exposed in the U.S., veiled in IranLicensedSeptember 29, 2011
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Requires Authentication UnlicensedA novel semio-mathematical technique for excavating themes out of group dynamicsLicensedSeptember 29, 2011
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Requires Authentication UnlicensedCompound constructions: Waterproof three-storey brick and tile fire stations?LicensedSeptember 29, 2011