The formalized theories in which are considered different types of logics give us an easier way of understanding of our own interpretations of the concepts and of the events of life. In the paper "Paradoxist mathematics " [l] Smarandache proved that contradiction is not a catastrophe even in mathematics and he taught us how to handle it. Even more, this can encourage us in our life, for the infinite dimensional capacity of human condition. Through this paper we meditate on the great diversity of human condition seen through the axiomatization of a formalized theory. Thus the science gives some explanations for the life and the life inspires the science. We denote S:=(N,R,A) an axiomatical system of a formalized theory; N and R are...
This paper is a brief formulation of a radical thesis. We start with the formalist doctrine that mat...
When mathematicians discuss proofs, they rarely have a particular formal system in mind. Indeed, the...
Many concepts in mathematics are not fully defined, and their properties are implicit, which leads t...
Philosophical analysis of axiomatic methods goes back at least to Aristotle. In the large literature...
In what follows I argue for an epistemic bridge principle that allows us to move from real mathemati...
Mathematics is one of the most interesting and challeng-ing subjects known to mankind. This is due p...
This book addresses the logical aspects of the foundations of scientific theories. Even though the r...
This edited collection discusses phenomenological critiques of formalism and their relevance to the ...
Abstract. The persisting gap between the formal and the informal mathematics is due to an inadequate...
A principle, according to which any scientific theory can be mathematized, is investigated. Social s...
In today\u27s philosophy of science, scientific theories are construed as abstract mathematical obje...
A fundamental problem in science is how to make logical inferences from scientific data. Mere data d...
To begin with I distinguish various kinds of realism, especially commonsense, scientific and metaphy...
The quest to understand the natural and the mathematical as well as philosophical principles of dyna...
The formalist philosophy of mathematics (in its purest, most extreme version) is widely regarded as ...
This paper is a brief formulation of a radical thesis. We start with the formalist doctrine that mat...
When mathematicians discuss proofs, they rarely have a particular formal system in mind. Indeed, the...
Many concepts in mathematics are not fully defined, and their properties are implicit, which leads t...
Philosophical analysis of axiomatic methods goes back at least to Aristotle. In the large literature...
In what follows I argue for an epistemic bridge principle that allows us to move from real mathemati...
Mathematics is one of the most interesting and challeng-ing subjects known to mankind. This is due p...
This book addresses the logical aspects of the foundations of scientific theories. Even though the r...
This edited collection discusses phenomenological critiques of formalism and their relevance to the ...
Abstract. The persisting gap between the formal and the informal mathematics is due to an inadequate...
A principle, according to which any scientific theory can be mathematized, is investigated. Social s...
In today\u27s philosophy of science, scientific theories are construed as abstract mathematical obje...
A fundamental problem in science is how to make logical inferences from scientific data. Mere data d...
To begin with I distinguish various kinds of realism, especially commonsense, scientific and metaphy...
The quest to understand the natural and the mathematical as well as philosophical principles of dyna...
The formalist philosophy of mathematics (in its purest, most extreme version) is widely regarded as ...
This paper is a brief formulation of a radical thesis. We start with the formalist doctrine that mat...
When mathematicians discuss proofs, they rarely have a particular formal system in mind. Indeed, the...
Many concepts in mathematics are not fully defined, and their properties are implicit, which leads t...