WARNING:
JavaScript is turned OFF. None of the links on this concept map will
work until it is reactivated.
If you need help turning JavaScript On, click here.
Questa Cmap, creata con IHMC CmapTools, contiene informazioni relative a: clil 5c ls - Wigner, - Sometimes Maths doesn't reflect perfectly the reality and mathematical results seem to go over the human reasoning. - This part of reality , incomprehensible by mathematical calculations, can be explained only througt probability. two examples ... Irreconciliability between, - Mathematical language is the correct language of PHYSICS - In fact elementary mathematics and elementary geometry lead to an amazingly accurate description of natural phenomena - Maths fits to the geometry of nature and we can benefit and take advantage of this in order to discover the secrets of our world. ???? Barrow's examples: - Electricity pylons - Elephant's skin ..., 1) The physicist is interested in discovering the laws of inanimate nature; 2) They must distinguish the conditions which influence phenomena and what don't do it; 3) They try to find the regularity, so the independence of some conditions which could have an effect on the events; 4) They try to find the invariance behind all the real events; Laws of inanimate nature - They can also be used to predict future only when all the relevant determinants are known. - This principle is applied to the construction of machines ( radar, nuclear reactors), Irreconciliability between and "Quantum theory" Which studies atom's laws (small-scale world), "THE UNREASONABLE EFFECTIVENESS OF MATHEMATICS IN THE NATURAL SCIENCES" -E. Wigner- What is Maths? - Maths is the collection of all possible patterns; It is everywhere and in all the things around us. - Mathematicians formulate interesting theorems, but without defining concepts beyond them., - Mathematical language is the correct language of PHYSICS - In fact elementary mathematics and elementary geometry lead to an amazingly accurate description of natural phenomena - Maths fits to the geometry of nature and we can benefit and take advantage of this in order to discover the secrets of our world. But there is no rational explanation for it! So if Maths is unreasonable, even physics will be such, because it uses a mathematical language., - Sometimes Maths doesn't reflect perfectly the reality and mathematical results seem to go over the human reasoning. - This part of reality , incomprehensible by mathematical calculations, can be explained only througt probability. two examples ... Irrational number, "Relativity" Which explain cosmological events (large-scale world) They are both mathematically valid but they exclude each other ... Maybe in the future scientists can find a link to conciliate them..., - Maths is the collection of all possible patterns; It is everywhere and in all the things around us. - Mathematicians formulate interesting theorems, but without defining concepts beyond them. Why is Math so useful in our lives? - Mathematical language is the correct language of PHYSICS - In fact elementary mathematics and elementary geometry lead to an amazingly accurate description of natural phenomena - Maths fits to the geometry of nature and we can benefit and take advantage of this in order to discover the secrets of our world., "Quantum theory" Which studies atom's laws (small-scale world) They are both mathematically valid but they exclude each other ... Maybe in the future scientists can find a link to conciliate them..., - Maths is the collection of all possible patterns; It is everywhere and in all the things around us. - Mathematicians formulate interesting theorems, but without defining concepts beyond them. Why Maths is unreasonable? - Sometimes Maths doesn't reflect perfectly the reality and mathematical results seem to go over the human reasoning. - This part of reality , incomprehensible by mathematical calculations, can be explained only througt probability., Irreconciliability between and "Relativity" Which explain cosmological events (large-scale world), - Mathematical language is the correct language of PHYSICS - In fact elementary mathematics and elementary geometry lead to an amazingly accurate description of natural phenomena - Maths fits to the geometry of nature and we can benefit and take advantage of this in order to discover the secrets of our world. What do the physicists do? 1) The physicist is interested in discovering the laws of inanimate nature; 2) They must distinguish the conditions which influence phenomena and what don't do it; 3) They try to find the regularity, so the independence of some conditions which could have an effect on the events; 4) They try to find the invariance behind all the real events;, "THE UNREASONABLE EFFECTIVENESS OF MATHEMATICS IN THE NATURAL SCIENCES" -E. Wigner- linked to the "Barrow's speech : Maths is everywhere" During the "Science and philosophy festival", Foligno, - Sometimes Maths doesn't reflect perfectly the reality and mathematical results seem to go over the human reasoning. - This part of reality , incomprehensible by mathematical calculations, can be explained only througt probability. But there is no rational explanation for it! So if Maths is unreasonable, even physics will be such, because it uses a mathematical language., 1) The physicist is interested in discovering the laws of inanimate nature; 2) They must distinguish the conditions which influence phenomena and what don't do it; 3) They try to find the regularity, so the independence of some conditions which could have an effect on the events; 4) They try to find the invariance behind all the real events; Invariance ... It is the irrelevancy of many circumstances. Es.: Galileo's experiment: 2 rocks dropped at the same time, from the same height reach the ground at the same time. - In this experiment a lot of conditions could influence the experience, but they don't do it.