12 окт. 2016 г. · PDF | What are mathematical objects and concepts? Are they only abstractions or coming from the real world? Since the 50ties, mathematicians ...

In this paper I will demonstrate a consequence at times manifest in the semiotic transformations involving the treatment and conversion of a semiotic.

I. Introduction. This chapter expounds two essential notions in Wittgenstein's grammatical picture of mathe- matics: mathematical objects and concepts.

22 окт. 2024 г. · PDF | In terms of a sufficiently fine-grained theory we should distinguish between classes, properties and concepts.

In this essay I try to investigate the potential role of imagery and representations for learning and understanding pure and more advanced mathematics.

Let us see how we might use this simple language of postulation to state postulates for various mathematical domains. We consider two examples: number theory; ...

Unlike many other discourses, the objects of mathematics, those things that are being talked about, do not pre-exist the talk; rather, they arise as byproducts ...

16 апр. 2012 г. · The nature of mathematical objects, their various types, the way in which they are formed, and how they participate in mathematical activity are ...

1 сент. 2022 г. · Common mathematical objects include numbers, sets, functions, geometric shapes, transformations, and spaces. The ontological status of ...

Thus, we are offering a mathematics free account of mathematical objects, mathematical reference, and mathematical truth. We don't suppose that an object of ...