davide bondoni - Academia.edu (original) (raw)
Papers by davide bondoni
This paper has been withdrawn by the author. In this short paper I will put in evidence a problem... more This paper has been withdrawn by the author. In this short paper I will put in evidence a problem nested in Ozawa's effort to block von Neumann's chains and in his attributing the wave-collapse to a interaction between systems. This suggests distinguishing sharply the mathematical world from the phenomenological one.
Aim of this paper is to confute two views, the first about Schröder's presumptive foundationalism... more Aim of this paper is to confute two views, the first about Schröder's presumptive foundationalism, according to he founded mathematics on the calculus of relatives; the second one mantaining that Schröder only in his last years (from 1890 onwards) focused on an universal and symbolic language (by him called pasigraphy). We will argue that, on the one hand Schröder considered the problem of founding mathematics already solved by Dedekind, limiting himself in a mere translation of the Chain Theory in the language of the relatives. On the other hand, we will show that Schröder's pasigraphy was connaturate to himself and that it roots in his very childhood and in his love for foreign languages.
Aim of this paper is to confute two views, the first about Schr\"oder's presumptive foun... more Aim of this paper is to confute two views, the first about Schr\"oder's presumptive foundationalism, according to he founded mathematics on the calculus of relatives; the second one mantaining that Schr\"oder only in his last years (from 1890 onwards) focused on an universal and symbolic language (by him called pasigraphy). We will argue that, on the one hand Schr\"oder considered the problem of founding mathematics already solved by Dedekind, limiting himself in a mere translation of the Chain Theory in the language of the relatives. On the other hand, we will show that Schr\"oder's pasigraphy was connaturate to himself and that it roots in his very childhood and in his love for foreign languages.
This paper has been withdrawn by the author. In this short paper I will put in evidence a problem... more This paper has been withdrawn by the author. In this short paper I will put in evidence a problem nested in Ozawa's effort to block von Neumann's chains and in his attributing the wave-collapse to a interaction between systems. This suggests distinguishing sharply the mathematical world from the phenomenological one.
This paper has been withdrawn by the author. In this article I review W\"ust's recent ha... more This paper has been withdrawn by the author. In this article I review W\"ust's recent handbook on mathematical physics from a philosophical standpoint. It emerges a structural approach to mathematics which evidences the utility of logic in the expression of the main concepts of this discipline.
The aim of this paper is to cast light on 1874 Schröder’s little pamphlet On the Formal Elements ... more The aim of this paper is to cast light on 1874 Schröder’s little pamphlet On the Formal Elements of an Absolute Algebra, devoted to the so-called “Absolute Algebra”. We will show that there Schröder investigated meta-mathematically structured sets, attaining to the concepts of “group”, “semi-group” and “loop”. In this sense, Schröder foresaw the concept of “modern algebra”, or of “group theory”; this latter in the sense of Klein.
This short essay unfolds in two parts: the first proposes a biographical sketch of Schröder&#... more This short essay unfolds in two parts: the first proposes a biographical sketch of Schröder's life; the second aims to stress the meta-mathematical features in his "On the Formal Element of an Absolute Algebra (1874)". According to my opinion, in this context Schröder foresaw much naively not only Abstract Algebra, but also Group Theory, viewed in a structural setting.
This paper has been withdrawn by the author. In this article I review Wüst's recent handbook on m... more This paper has been withdrawn by the author. In this article I review Wüst's recent handbook on mathematical physics from a philosophical standpoint. It emerges a structural approach to mathematics which evidences the utility of logic in the expression of the main concepts of this discipline.
Notices of the American Mathematical Society, 2013
Eprint Arxiv 1006 0528, Jun 2, 2010
This paper has been withdrawn by the author. In this short paper I will put in evidence a problem... more This paper has been withdrawn by the author. In this short paper I will put in evidence a problem nested in Ozawa's effort to block von Neumann's chains and in his attributing the wave-collapse to a interaction between systems. This suggests distinguishing sharply the mathematical world from the phenomenological one.
Logic and Logical Philosophy, 2014
Aim of this paper is to confute two views, the first about Schröder's presumptive foundationalism... more Aim of this paper is to confute two views, the first about Schröder's presumptive foundationalism, according to he founded mathematics on the calculus of relatives; the second one mantaining that Schröder only in his last years (from 1890 onwards) focused on an universal and symbolic language (by him called pasigraphy). We will argue that, on the one hand Schröder considered the problem of founding mathematics already solved by Dedekind, limiting himself in a mere translation of the Chain Theory in the language of the relatives. On the other hand, we will show that Schröder's pasigraphy was connaturate to himself and that it roots in his very childhood and in his love for foreign languages.
Lettera Matematica, 2014
The aim of this paper is to cast light on 1874 Schröder's little pamphlet On the Formal Elements ... more The aim of this paper is to cast light on 1874 Schröder's little pamphlet On the Formal Elements of an Absolute Algebra, devoted to the so-called ''Absolute Algebra''. We will show that there Schröder investigated meta-mathematically structured sets, attaining to the concepts of ''group'', ''semi-group'' and ''loop''. In this sense, Schröder foresaw the concept of ''modern algebra'', or of ''group theory''; this latter in the sense of Klein.
This paper has been withdrawn by the author. In this short paper I will put in evidence a problem... more This paper has been withdrawn by the author. In this short paper I will put in evidence a problem nested in Ozawa's effort to block von Neumann's chains and in his attributing the wave-collapse to a interaction between systems. This suggests distinguishing sharply the mathematical world from the phenomenological one.
Aim of this paper is to confute two views, the first about Schröder's presumptive foundationalism... more Aim of this paper is to confute two views, the first about Schröder's presumptive foundationalism, according to he founded mathematics on the calculus of relatives; the second one mantaining that Schröder only in his last years (from 1890 onwards) focused on an universal and symbolic language (by him called pasigraphy). We will argue that, on the one hand Schröder considered the problem of founding mathematics already solved by Dedekind, limiting himself in a mere translation of the Chain Theory in the language of the relatives. On the other hand, we will show that Schröder's pasigraphy was connaturate to himself and that it roots in his very childhood and in his love for foreign languages.
Aim of this paper is to confute two views, the first about Schr\"oder's presumptive foun... more Aim of this paper is to confute two views, the first about Schr\"oder's presumptive foundationalism, according to he founded mathematics on the calculus of relatives; the second one mantaining that Schr\"oder only in his last years (from 1890 onwards) focused on an universal and symbolic language (by him called pasigraphy). We will argue that, on the one hand Schr\"oder considered the problem of founding mathematics already solved by Dedekind, limiting himself in a mere translation of the Chain Theory in the language of the relatives. On the other hand, we will show that Schr\"oder's pasigraphy was connaturate to himself and that it roots in his very childhood and in his love for foreign languages.
This paper has been withdrawn by the author. In this short paper I will put in evidence a problem... more This paper has been withdrawn by the author. In this short paper I will put in evidence a problem nested in Ozawa's effort to block von Neumann's chains and in his attributing the wave-collapse to a interaction between systems. This suggests distinguishing sharply the mathematical world from the phenomenological one.
This paper has been withdrawn by the author. In this article I review W\"ust's recent ha... more This paper has been withdrawn by the author. In this article I review W\"ust's recent handbook on mathematical physics from a philosophical standpoint. It emerges a structural approach to mathematics which evidences the utility of logic in the expression of the main concepts of this discipline.
The aim of this paper is to cast light on 1874 Schröder’s little pamphlet On the Formal Elements ... more The aim of this paper is to cast light on 1874 Schröder’s little pamphlet On the Formal Elements of an Absolute Algebra, devoted to the so-called “Absolute Algebra”. We will show that there Schröder investigated meta-mathematically structured sets, attaining to the concepts of “group”, “semi-group” and “loop”. In this sense, Schröder foresaw the concept of “modern algebra”, or of “group theory”; this latter in the sense of Klein.
This short essay unfolds in two parts: the first proposes a biographical sketch of Schröder&#... more This short essay unfolds in two parts: the first proposes a biographical sketch of Schröder's life; the second aims to stress the meta-mathematical features in his "On the Formal Element of an Absolute Algebra (1874)". According to my opinion, in this context Schröder foresaw much naively not only Abstract Algebra, but also Group Theory, viewed in a structural setting.
This paper has been withdrawn by the author. In this article I review Wüst's recent handbook on m... more This paper has been withdrawn by the author. In this article I review Wüst's recent handbook on mathematical physics from a philosophical standpoint. It emerges a structural approach to mathematics which evidences the utility of logic in the expression of the main concepts of this discipline.
Notices of the American Mathematical Society, 2013
Eprint Arxiv 1006 0528, Jun 2, 2010
This paper has been withdrawn by the author. In this short paper I will put in evidence a problem... more This paper has been withdrawn by the author. In this short paper I will put in evidence a problem nested in Ozawa's effort to block von Neumann's chains and in his attributing the wave-collapse to a interaction between systems. This suggests distinguishing sharply the mathematical world from the phenomenological one.
Logic and Logical Philosophy, 2014
Aim of this paper is to confute two views, the first about Schröder's presumptive foundationalism... more Aim of this paper is to confute two views, the first about Schröder's presumptive foundationalism, according to he founded mathematics on the calculus of relatives; the second one mantaining that Schröder only in his last years (from 1890 onwards) focused on an universal and symbolic language (by him called pasigraphy). We will argue that, on the one hand Schröder considered the problem of founding mathematics already solved by Dedekind, limiting himself in a mere translation of the Chain Theory in the language of the relatives. On the other hand, we will show that Schröder's pasigraphy was connaturate to himself and that it roots in his very childhood and in his love for foreign languages.
Lettera Matematica, 2014
The aim of this paper is to cast light on 1874 Schröder's little pamphlet On the Formal Elements ... more The aim of this paper is to cast light on 1874 Schröder's little pamphlet On the Formal Elements of an Absolute Algebra, devoted to the so-called ''Absolute Algebra''. We will show that there Schröder investigated meta-mathematically structured sets, attaining to the concepts of ''group'', ''semi-group'' and ''loop''. In this sense, Schröder foresaw the concept of ''modern algebra'', or of ''group theory''; this latter in the sense of Klein.