A new approach to quantum mechanics based on independence of the Continuum Hypothesis is proposed. In one-dimensional case, it is shown that the basic principles of quantum mechanics are properties of the set of intermediate cardinality and of the simplest map from the intermediate set to the set of real numbers
One of the basic results in set theory is that the cardinality of the power set of the natural numbe...
This paper presents and defends an argument that the continuum hypothesis is false, based on conside...
CONSTRUCTIBILITY IN QUANTUM MECHANICS \ud \ud D.J. BENDANIEL \ud Cornell University (djb16@Cornell...
It is shown that the independence of the continuum hypothesis points to the unique definite status o...
A non-relativistic quantum mechanical theory is proposed that describes the universe as a continuum ...
In 1891 Georg Cantor proved that there exist multiple size of infinity. In particular, the size of t...
Two sets A and B are said to have the same power if there exists a one-to-one correspondence between...
In set theory [1], two sets are considered to have the same cardinality, if a one-to-one corresponde...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Philosophy, 1974.MIT Humanities Lib...
The relational view of physics has been much discussed and growing support. Rovelli's Relational qua...
The independence of the continuum hypothesis is a result of broad impact: it settles a basic questio...
In an earlier work it was shown that the masses (appropriately defined) and the lifetimes of radionu...
his article is a follow-up to our previous article (cf. Octogon Mathematical Magazine, 2018). As we ...
What theoretical structures characterise our notions of what it means for a whole physical system to...
The tale and the goals The topos of this research can be traced back to 1878 when the mathematician ...
One of the basic results in set theory is that the cardinality of the power set of the natural numbe...
This paper presents and defends an argument that the continuum hypothesis is false, based on conside...
CONSTRUCTIBILITY IN QUANTUM MECHANICS \ud \ud D.J. BENDANIEL \ud Cornell University (djb16@Cornell...
It is shown that the independence of the continuum hypothesis points to the unique definite status o...
A non-relativistic quantum mechanical theory is proposed that describes the universe as a continuum ...
In 1891 Georg Cantor proved that there exist multiple size of infinity. In particular, the size of t...
Two sets A and B are said to have the same power if there exists a one-to-one correspondence between...
In set theory [1], two sets are considered to have the same cardinality, if a one-to-one corresponde...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Philosophy, 1974.MIT Humanities Lib...
The relational view of physics has been much discussed and growing support. Rovelli's Relational qua...
The independence of the continuum hypothesis is a result of broad impact: it settles a basic questio...
In an earlier work it was shown that the masses (appropriately defined) and the lifetimes of radionu...
his article is a follow-up to our previous article (cf. Octogon Mathematical Magazine, 2018). As we ...
What theoretical structures characterise our notions of what it means for a whole physical system to...
The tale and the goals The topos of this research can be traced back to 1878 when the mathematician ...
One of the basic results in set theory is that the cardinality of the power set of the natural numbe...
This paper presents and defends an argument that the continuum hypothesis is false, based on conside...
CONSTRUCTIBILITY IN QUANTUM MECHANICS \ud \ud D.J. BENDANIEL \ud Cornell University (djb16@Cornell...