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EN
In this article I trace the development of the concept of the continuum from Eudoxus to Brouwer from the perspective of analytical philosophy or, more particularly, from the perspective of two turns that analytical philosophy has brought with it. The first of these is the linguistic turn which states that if we wish to answer questions like 'what sort of class of objects is such and such?' we must first of all investigate the relevant linguistic context and, in particular, we must describe the admissible representations. Only in establishing the criterion of identity do we establish names of something-that is of corresponding objects. The second turn is the pragmatic turn which responds to the above questions always with an eye to how the given expressions (representations) are used in the framework of a certain stable linguistic praxis. In relation to arithmetic we thus take as our starting point Frege's characterisation of a cardinal or real number as a response to the question 'how much of what?', or 'how great is the given quantity in relation to a unitary quantity?'
EN
In the paper, cognitive semiotics is presented as a contemporary semiotic discipline interconnected with humanities as well as – through cognitive sciences – natural sciences. The objectives of cognitive semiotics and the above-mentioned sciences can be identical: to shed light on the conditions of the constitution of sense. This constitution is conceived of as a modality of cognition and action. Thanks to a possible fruitful dialogue, cognitive semiotics could make use of a new epistemology, which would connect the objective continuum to the discursive one.
EN
The aim of the paper is to offer an interpretation of U. Eco's hyper-reality and J. P. Baudrillard's simulacrum as related to the conceptions of mixed reality and virtual continuum (Milgram, Kishino), which have been presented in the laboratories of communication technology in the early 1990s. The paper tries to show the interference point of the two approaches - philosophical (semiotic) and technical ones, as well as the possibility and necessity to revise some traditional philosophical question and categories, such as humanity or reality.
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