Mathematics
and absolutism
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The history of humanity and its knowledge indicates that mathematics was one of the first science origination, and what was taught abstract topics from all sensory material, the issues to be determined by an absolute certainty, so we find the mind where the largest possible place holds while the share of the sense in which very little, but if each had something out of science and each source, what is the origin of mathematics? The source concepts?
I. Do the math in the first origin issued by the mind necessarily? Alice to experience the impact of their presence?
First: rationalism "ideal": This doctrine believes that mathematical concepts stemming from
Mind, The place engineering and straight line and number concepts and Infinite and all other sports mentality gloss abstract, does not indicate that it originated by sensory observation but they were of the mind alone, the most famous pioneers of this doctrine of Plato, Descartes, Kant. Greek philosopher Plato gave precedence to the mind, which was live in the world of ideals and was aware of all other facts, including mathematical concepts such as the rectum and the circle and triangle, but when you separate him from this world has forgotten his ideas, he should be remembered that the perceived alone. French philosopher Descartes also go to the sports meanings of numbers and shapes are innate ideas of God deposited in us since the beginning, and what the mind is the most equitable apportionment among the people all of the people involved in the mental processes where they live out their conclusions. It also can be accessed, as the German philosopher Imanuel Kant argues that the idea of time and space are two ideas Midwives (Aftceka) and mind on external things.
Second: empiricism "sensuous": This doctrine believes that mathematical concepts origin experimental sensory, and that the mind is just a blank sheet of reflective and registered as it is, in fact, sports not innate but are acquired through observation and experience, the most famous defenders of this trend: the philosopher John Locke, David Hume, John Stuart Mill, where John Locke believes that the mind as a blank page and that experience is that Skip on this mind.
As
David Hume believes that it is born when he is devoid of the sense of
the senses can not know the consequences of the impressions that lost
sense of ideas not know what color, for example. See John Stuart
Mill argued that the mathematical meanings was only a partial copy of
the things given to the substantive experience, where he says: "The
dots, lines, circles carried by each and every one in his mind are
just copies of dots, lines, circles defined in the experiment"
Humans have an inventory of the straight lines of the movement Birds
or march arrow and circle of the moon or the sun disk or
iris.
Third: dumping in abstraction from the nature of mathematics:
Both isms (mental and experimental) have disagreed on the interpretation of the emergence of mathematical concepts were totally separation between mind and experience, even though the mathematics history shows us that sports meanings can not be considered a sensible things whole, nor reasonable pure concepts. It can will complement together to explain the genesis of mathematical meanings, because these meanings did not arise at once, but has grown and evolved gradually over time, the mathematical concepts sensory began a pilot in the first her and then evolved into the concepts of deductive abstract, but rather reflect the highest levels of abstraction using fictional numbers , composite, this said: (The knowledge is not final given ready and necessary to the process of forming the experience and abstraction).
II. In spite of its lofty view of the curriculum and the results, can be described correct industry in all cases, in its premises and conclusions?
What is the methodology followed by the athlete to demonstrate his findings?
First, in terms of curriculum and bases:
1 premises Approach: This methodology is based on deductive reasoning, which inference necessarily depends on initial premises known Baloliat and women and definitions to establish proof of the sincerity or lie on the table to resolve the issue.
A of axioms: axioms preliminary issues by the incredible mind without proof, they generally include any and all science is used in all proof. Example: All the biggest part, Two values Similar third quantity are equal.
B postulates: also called seizures or topics to which it puts the mind, and confiscations are the issues that delivers mind telling the truth, so that he could build a mathematical proof they needed permission from making the mind and this is said to be aware of each and forfeitures developed by Euclid:
Straight out of the point can not only draw a line parallel to it.
Parallel lines do not meet whatever columns along.
Place with three dimensions: length, width, height.
C definitions: Do not enter the field of research concepts sports, but if the mind penned abstract formulation is far from the reality of the experience, but this Tariffs are suitable for the creation of abstract concepts tool, and this definitions are necessary to determine the mathematical meanings and clarified. Example: Triangle: a geometric shape surrounded by three straight lines intersecting two by two. Box number: is multiplied by the number in the same
2 methods demonstrated in the curriculum: If this is the basis and principles demonstrated sports, how to move them to the results, which obliges them? In other what is demonstrated in the math methods?
There are two ways reach whichever is the sports world to prove the facts and construction, through the so-called proof of analytical and other so-called evidence synthesis.
1 analytical proof: the return on the complex issue and you want to prove to other issues simpler ones known to us and we have already proved, and analytical proof is divided into two sections:
A direct proof analytical: and it is going from unknown issue to the issue of information, for example, we have the following equation:
Q +8 = 10
Solving this equation depends on the mathematical principle of a common-sense argument: that put a fixed amount of equals will not change, let us cast Are worth permission amount (8) from both sides of the first equation:
X + = 8 8 10 8
Q = 2
B analytical proof is direct: and we are trying to prove by this proof that the opposite of the case required to prove them false and lying conclude this honesty.
Example: (a) // (b) and (b) // (c) required to prove (a) // (c)
Suppose that (a) does not // (c) and is thus broken, and if a piece parts (b) and this is impossible and it (a) // (c).
(A)
(B)
(C)
2 compositional proof: it is the transmission of the principles and foundations of the movement aims to create and establish the results of a new vehicle in the proof synthetic reflected the effectiveness of our creative thought.
Example: Our equations c 2 = 0, c 3 = 0
We can Naamlhma equation of the first class, but the proof requires structural equations to strike at each other to get the new quadratic equation, namely: Q Q 5 +6 = 0
Secondly, in terms of results:
The consequences curricular sports and nature theme characterized as deterministic results reflect the certainty and precision and clarity, it is also abstract the results of all sensory material, because it deals with quantities and amounts away from the qualities and attributes, as well as the results are characterized by harmony with the principles and concepts of produced and compatibility them away from contradiction, making it the model and example of a role model in uncertainty, as they reflect the results of the novelty and creativity, innovation and effectiveness of the mind.
III. What are the limits of mathematics and its value?
The mathematical thinking and despite the achievements of certainty to demonstrate the accuracy of the results and methods, it has limits stands then, but shall be referred to the sockets, the most important of these drawbacks:
The mathematical truths characterized by certainty and honesty when it come down to the experimental applications lose their accuracy and located in any approximations to deal with it and actually lose their accuracy and becomes merely approximate odds possible.
The mathematical concepts can not be described in absolute and not to change, and this is evidenced by multiple geometries, in addition to Euclid's geometry new geometries Vacancy for Civil for “Obaczewski” has emerged, and the geometry of Riemann, this Polagan says :( The large number of systems in engineering, for evidence that the math where no facts absolute).
But despite these drawbacks for mathematics, mathematics remains summit in clarity and intuitiveness and a form of thought creative creative, this has been able to invade all the sciences in order to clarity and accuracy, and is considered ideal for all science in accuracy and certainty, and therefore we say that mathematics is now necessary for all science has become so :( said that modern science and mathematics Output )
Conclusion: solve the problem
Mathematics subject matter, and its approach, and results, and its language, remains occupies the finest of which was obtained by the Science accuracy and certainty, and that the language model has become the necessity of looking forward to acquire all scientific thinking, which means that math is a model uncertainty crossing for absolutism
Third: dumping in abstraction from the nature of mathematics:
Both isms (mental and experimental) have disagreed on the interpretation of the emergence of mathematical concepts were totally separation between mind and experience, even though the mathematics history shows us that sports meanings can not be considered a sensible things whole, nor reasonable pure concepts. It can will complement together to explain the genesis of mathematical meanings, because these meanings did not arise at once, but has grown and evolved gradually over time, the mathematical concepts sensory began a pilot in the first her and then evolved into the concepts of deductive abstract, but rather reflect the highest levels of abstraction using fictional numbers , composite, this said: (The knowledge is not final given ready and necessary to the process of forming the experience and abstraction).
II. In spite of its lofty view of the curriculum and the results, can be described correct industry in all cases, in its premises and conclusions?
What is the methodology followed by the athlete to demonstrate his findings?
First, in terms of curriculum and bases:
1 premises Approach: This methodology is based on deductive reasoning, which inference necessarily depends on initial premises known Baloliat and women and definitions to establish proof of the sincerity or lie on the table to resolve the issue.
A of axioms: axioms preliminary issues by the incredible mind without proof, they generally include any and all science is used in all proof. Example: All the biggest part, Two values Similar third quantity are equal.
B postulates: also called seizures or topics to which it puts the mind, and confiscations are the issues that delivers mind telling the truth, so that he could build a mathematical proof they needed permission from making the mind and this is said to be aware of each and forfeitures developed by Euclid:
Straight out of the point can not only draw a line parallel to it.
Parallel lines do not meet whatever columns along.
Place with three dimensions: length, width, height.
C definitions: Do not enter the field of research concepts sports, but if the mind penned abstract formulation is far from the reality of the experience, but this Tariffs are suitable for the creation of abstract concepts tool, and this definitions are necessary to determine the mathematical meanings and clarified. Example: Triangle: a geometric shape surrounded by three straight lines intersecting two by two. Box number: is multiplied by the number in the same
2 methods demonstrated in the curriculum: If this is the basis and principles demonstrated sports, how to move them to the results, which obliges them? In other what is demonstrated in the math methods?
There are two ways reach whichever is the sports world to prove the facts and construction, through the so-called proof of analytical and other so-called evidence synthesis.
1 analytical proof: the return on the complex issue and you want to prove to other issues simpler ones known to us and we have already proved, and analytical proof is divided into two sections:
A direct proof analytical: and it is going from unknown issue to the issue of information, for example, we have the following equation:
Q +8 = 10
Solving this equation depends on the mathematical principle of a common-sense argument: that put a fixed amount of equals will not change, let us cast Are worth permission amount (8) from both sides of the first equation:
X + = 8 8 10 8
Q = 2
B analytical proof is direct: and we are trying to prove by this proof that the opposite of the case required to prove them false and lying conclude this honesty.
Example: (a) // (b) and (b) // (c) required to prove (a) // (c)
Suppose that (a) does not // (c) and is thus broken, and if a piece parts (b) and this is impossible and it (a) // (c).
(A)
(B)
(C)
2 compositional proof: it is the transmission of the principles and foundations of the movement aims to create and establish the results of a new vehicle in the proof synthetic reflected the effectiveness of our creative thought.
Example: Our equations c 2 = 0, c 3 = 0
We can Naamlhma equation of the first class, but the proof requires structural equations to strike at each other to get the new quadratic equation, namely: Q Q 5 +6 = 0
Secondly, in terms of results:
The consequences curricular sports and nature theme characterized as deterministic results reflect the certainty and precision and clarity, it is also abstract the results of all sensory material, because it deals with quantities and amounts away from the qualities and attributes, as well as the results are characterized by harmony with the principles and concepts of produced and compatibility them away from contradiction, making it the model and example of a role model in uncertainty, as they reflect the results of the novelty and creativity, innovation and effectiveness of the mind.
III. What are the limits of mathematics and its value?
The mathematical thinking and despite the achievements of certainty to demonstrate the accuracy of the results and methods, it has limits stands then, but shall be referred to the sockets, the most important of these drawbacks:
The mathematical truths characterized by certainty and honesty when it come down to the experimental applications lose their accuracy and located in any approximations to deal with it and actually lose their accuracy and becomes merely approximate odds possible.
The mathematical concepts can not be described in absolute and not to change, and this is evidenced by multiple geometries, in addition to Euclid's geometry new geometries Vacancy for Civil for “Obaczewski” has emerged, and the geometry of Riemann, this Polagan says :( The large number of systems in engineering, for evidence that the math where no facts absolute).
But despite these drawbacks for mathematics, mathematics remains summit in clarity and intuitiveness and a form of thought creative creative, this has been able to invade all the sciences in order to clarity and accuracy, and is considered ideal for all science in accuracy and certainty, and therefore we say that mathematics is now necessary for all science has become so :( said that modern science and mathematics Output )
Conclusion: solve the problem
Mathematics subject matter, and its approach, and results, and its language, remains occupies the finest of which was obtained by the Science accuracy and certainty, and that the language model has become the necessity of looking forward to acquire all scientific thinking, which means that math is a model uncertainty crossing for absolutism
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