Publication date
July 1997
DOIAbstract
It is a lot easier to deny the Euclid`s five postulates than Hilbert`s twenty thorough axioms
It is a lot easier to deny the Euclid`s five postulates than Hilbert`s twenty thorough axioms
There are two ways to study projective geometry: 1) an extension fo the Eucildean geometry taught in...
The present first part about the eventual completeness of mathematics (called “Hilbert mathematics”)...
Kant's arguments for the synthetic a priori status of geometry are generally taken to have...
David Hilbert's Foundations of Geometry (1899) contain nineteen statements, labelled axioms, from wh...
It is possible to de-formaze entirely Hilbert`s groups of axioms of the Euclidean Geometry, and to c...
Abstract. We use Herbrand’s theorem to give a new proof that Euclid’s parallel ax-iom is not derivab...
Examines various attempts to prove Euclid's parallel postulate — by the Greeks, Arabs and Renaissanc...
The purpose of this note is to substantiate and explain the following quote from Hilbert
The well known Incompleteness Theorem of Godel showed that for any formal axiomatic system S which i...
In this paper we present three aspects of the autonomy of geometry. (1) An argument for the geometri...
We define the simplest log-euclidean geometry. This geometry exposes a difficulty hidden in Hilbert'...
The present first part about the eventual completeness of mathematics (called “Hilbert mathematics”)...
Title: Comparison of Euclid's and Hilbert's Axiomatic Systems of Geometry from the Didactic Viewpoin...
In 1969, intrigued by geometry, I simultaneously contacted a partially euclidean and partially non-e...
(Hartshorne, 2000) interprets Euclid’s Elements in the Hilbert system of axioms, specifically propos...
There are two ways to study projective geometry: 1) an extension fo the Eucildean geometry taught in...
The present first part about the eventual completeness of mathematics (called “Hilbert mathematics”)...
Kant's arguments for the synthetic a priori status of geometry are generally taken to have...
David Hilbert's Foundations of Geometry (1899) contain nineteen statements, labelled axioms, from wh...
It is possible to de-formaze entirely Hilbert`s groups of axioms of the Euclidean Geometry, and to c...
Abstract. We use Herbrand’s theorem to give a new proof that Euclid’s parallel ax-iom is not derivab...
Examines various attempts to prove Euclid's parallel postulate — by the Greeks, Arabs and Renaissanc...
The purpose of this note is to substantiate and explain the following quote from Hilbert
The well known Incompleteness Theorem of Godel showed that for any formal axiomatic system S which i...
In this paper we present three aspects of the autonomy of geometry. (1) An argument for the geometri...
We define the simplest log-euclidean geometry. This geometry exposes a difficulty hidden in Hilbert'...
The present first part about the eventual completeness of mathematics (called “Hilbert mathematics”)...
Title: Comparison of Euclid's and Hilbert's Axiomatic Systems of Geometry from the Didactic Viewpoin...
In 1969, intrigued by geometry, I simultaneously contacted a partially euclidean and partially non-e...
(Hartshorne, 2000) interprets Euclid’s Elements in the Hilbert system of axioms, specifically propos...
There are two ways to study projective geometry: 1) an extension fo the Eucildean geometry taught in...
The present first part about the eventual completeness of mathematics (called “Hilbert mathematics”)...
Kant's arguments for the synthetic a priori status of geometry are generally taken to have...
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