Georg Cantor
Created set theory and theory of transfinite numbers
Quotes by Georg Cantor
Mathematics is entirely free in its development, and its concepts are only bound by the absence of contradiction.
A set is a collection into a whole of definite, distinct objects of our intuition or of our thought.
The transfinite numbers are not only an extension of the finite numbers, but they also open up a new world of mathematical thought and discovery, which is of the greatest importance for the progress of mathematics.
The actual infinite is not an absurdity, but a reality, and it is the task of mathematics to explore it and to make it accessible to human thought.
The fear of infinity is a form of myopia that destroys the possibility of seeing the actual infinite, even though it is there, in all its splendor, waiting to be discovered and explored by the human mind.
Mathematics is entirely free in its development, and its concepts are only bound by the absence of contradiction, which is the only criterion for their legitimacy.
A set is a collection into a whole of definite, distinct objects of our intuition or of our thought. These objects are called the elements of the set.
The transfinite numbers are not only an extension of the finite numbers, but they also open up a new world of mathematical thought and discovery, which is of the greatest importance for the progress of mathematics and for the understanding of the universe.
The actual infinite is not an absurdity, but a reality, and it is the task of mathematics to explore it and to make it accessible to human thought and understanding.
The fear of infinity is a form of myopia that destroys the possibility of seeing the actual infinite, even though it is there, in all its splendor, waiting to be discovered and explored by the human mind and intellect.
Mathematics is entirely free in its development, and its concepts are only bound by the absence of contradiction, which is the only criterion for their legitimacy and for their existence.
A set is a collection into a whole of definite, distinct objects of our intuition or of our thought. These objects are called the elements of the set. The set itself is a single object.
The transfinite numbers are not only an extension of the finite numbers, but they also open up a new world of mathematical thought and discovery, which is of the greatest importance for the progress of mathematics and for the understanding of the universe and its infinite possibilities.
The actual infinite is not an absurdity, but a reality, and it is the task of mathematics to explore it and to make it accessible to human thought and understanding, and to reveal its profound implications for philosophy and theology.
The fear of infinity is a form of myopia that destroys the possibility of seeing the actual infinite, even though it is there, in all its splendor, waiting to be discovered and explored by the human mind and intellect, and to reveal its profound implications for our understanding of reality.
Mathematics is entirely free in its development, and its concepts are only bound by the absence of contradiction, which is the only criterion for their legitimacy and for their existence, and for their profound significance in the realm of human knowledge.
A set is a collection into a whole of definite, distinct objects of our intuition or of our thought. These objects are called the elements of the set. The set itself is a single object, which can be an element of another set.
The transfinite numbers are not only an extension of the finite numbers, but they also open up a new world of mathematical thought and discovery, which is of the greatest importance for the progress of mathematics and for the understanding of the universe and its infinite possibilities, and for the advancement of human knowledge.
The actual infinite is not an absurdity, but a reality, and it is the task of mathematics to explore it and to make it accessible to human thought and understanding, and to reveal its profound implications for philosophy and theology, and for our understanding of the divine.
The fear of infinity is a form of myopia that destroys the possibility of seeing the actual infinite, even though it is there, in all its splendor, waiting to be discovered and explored by the human mind and intellect, and to reveal its profound implications for our understanding of reality and the universe.