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Giuseppe Peano Quotes

1. 0 is a number.2. The immediate successor of a number is also a number.3. 0 is not the immediate successor of any number.4. No two numbers have the same immediate successor.5. Any property belonging to 0 and to the immediate successor of any number that also has that property belongs to all numbers Picture Quote #1

Questions that pertain to the foundations of mathematics, although treated by many in recent times, still lack a satisfactory solution. Ambiguity of language is philosophy’s main source of problems. That is why it is of the utmost importance to examine attentively the very words we use Picture Quote #1

In every science, after having analysed the ideas, expressing the more complicated by means of the more simple, one finds a certain number that cannot be reduced among them, and that one can define no further. These are the primitive ideas of the science; it is necessary to acquire them through experience, or through induction; it is impossible to explain them by deduction Picture Quote #1

No number before zero. The numbers may go on forever, but like the cosmos, they have a beginning Picture Quote #1

Geometric calculus consists in a system of operations analogous to those of algebraic calculus, but in which the entities on which the calculations are carried out, instead of being numbers, are geometric entities which we shall define Picture Quote #1

1. Zero is a number. 2. The successor of any number is another number. 3. There are no two numbers with the same successor. 4. Zero is not the successor of a number. 5. Every property of zero, which belongs to the successor of every number with this property, belongs to all numbers Picture Quote #1

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1. 0 is a number.2. The immediate successor of a number is also a number.3. 0 is not the immediate successor of any number.4. No two numbers have the same immediate successor.5. Any property belonging to 0 and to the immediate successor of any number that also has that property belongs to all numbers (Giuseppe Peano Quotes) Questions that pertain to the foundations of mathematics, although treated by many in recent times, still lack a satisfactory solution. Ambiguity of language is philosophy’s main source of problems. That is why it is of the utmost importance to examine attentively the very words we use (Giuseppe Peano Quotes) In every science, after having analysed the ideas, expressing the more complicated by means of the more simple, one finds a certain number that cannot be reduced among them, and that one can define no further. These are the primitive ideas of the science; it is necessary to acquire them through experience, or through induction; it is impossible to explain them by deduction (Giuseppe Peano Quotes) No number before zero. The numbers may go on forever, but like the cosmos, they have a beginning (Giuseppe Peano Quotes) Geometric calculus consists in a system of operations analogous to those of algebraic calculus, but in which the entities on which the calculations are carried out, instead of being numbers, are geometric entities which we shall define (Giuseppe Peano Quotes) 1. Zero is a number. 2. The successor of any number is another number. 3. There are no two numbers with the same successor. 4. Zero is not the successor of a number. 5. Every property of zero, which belongs to the successor of every number with this property, belongs to all numbers (Giuseppe Peano Quotes)