Saturday, May 31, 2008

the Law of Non-Contradiction

Assuming for the sake of debate, that the world no beginning has always existed. Not necessarily, then the age of the world would be infinite, it is his age, as measured by a final unity - if minute or hour, year or millennium, could not come whole. For Bonaventure, which is a prima facie case, the opposite: the idea that the world of the age at final, never understand a sentence, the strike also absurd. The absurdity of this proposal, or at least the direction of his absurdity is what underlies his arguments that the infinity can not be added, or by order - and thus may in the world. Thomas finesse Bonaventure three arguments is, in fact, blow into the infinite in size, to stress that we are again in the article to design and produce sections treat themselves as separate entities.

But we have the concept of infinity?

The reasoning is based on Thomas that the time is not all at once, but successively; infinite, it is never upgraded at the same time, it is never all at once here. But the world has an age - what life has also been age to age is that the sum of the units regardless of the length is in. That is, I believe, is the first flaw in the logic of Thomas: Refusal to the duration of the World Infinity as a whole, Thomas denies that the world is a rational age expiable.


The reason why

The reason why the infinity can never be founded as a quantitative measurement is the fact that it is a digital plural, a sequence of increasingly hypothetical values. It is not a lump sum, a very large number, x, but an infinite number of very large numbers: x, x +1, x +2, x +3, and so on. For infinitely main window one thing, as a quantitative measure, then, is it the values of x and x +1 at the same time. But x +1 is by definition non-x. The sermon of the infinite, the sermon of x and x-not at the same time - which, if we recall the principles, violated the law, does not refuse. But that is only on the basis of the absolute inviolability of the law is that Thomas in a position to the criterion of the possibility of distinction is not his: What is theoretically possible, what is or can be described, what does not and can not be described be nonbeing. Thomas himself claimed that God, "but he has the power infinite; one thing can not be done (which means that two contradictories true at the same time)". Again, what is done can not be made simultaneously. What is gifted, can not simultaneously are not gifted. What can not be x-x? Like Thomas, "The assertion of negation and can not be true ... not even God could such a thing, because there is nothing". And it is the same as the non-being.

To this idea in a way familiar, hold it for one person in two age groups simultaneously. While it is getting older, it can never, say, 32 and 33 years in the same time. The reason is that 33 is, by definition, not-32 ... What makes their age 32 and at the same time not-32, to deny and say the same predicate, breach of the law does not refuse. Infinity, where it is a plural digital xx, and can not be awarded a fact. It would, as we have seen a contradiction. It is interesting that Thomas even includes the possibility of infinite extent or infinite quantity in reality a specific date, but a potential is endless. For example, a row May be shared infinitely many times, but in no point of the total number of departments infinite. Also a possibly expanded May an infinite distance, but at no point the extent of the actual extend to infinity.

Even the future, has an endless potential. We think even May by the future, whether as a kind of potential magnitude (by the time extension as spatial units) or a multitude of potential (as counted in successive simultaneous units). Revolutions of the moon, for example, can be added one after the infinite, but at no time in the future, regardless of how far the number of revolutions in the infinity.


But how, then we must respond.....

But how, then we must respond, Thomas, that the time should not be seen as a simultaneous existence of these units (sum against the pagans 2.38)? The answer is that the divisibility of time, we must understand it as a simultaneous existence - a collection of units. It is the kind of arithmetic. For the calculation of a sum is still a simultaneous existence of units. What are the time units (hours, years or millennia) or physics (marble, melons or moons), the aggregation of intellectual property in the interest of the measure requires that the units as another substitute. The recent, must be measured, as a simultaneous existence - if this time is also at a point known, for example, the last time that the New York Jets won the Super Bowl, or that the period covers the entire duration in the world. And if we do, however, that in this case such a time should not be "closed", then we are left with a real infinite, in violation of the law does not refuse. This period may not be.

Life can not be infinite if it is a sequence of units closely. The same logic that Thomas includes an infinite size and an infinite amount can be used for an infinite duration. The world from the beginning of time has the evidence, as Bonaventure claim, and not just a question of faith.


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Eternity and Infinity of God...

When Thomas argues that the question of the beginning of the world is a question of faith, "not a demonstration or science," is his argument that the world could be so old that God, since the founding not an act of the Motion:

"... We must remember that one thing, efficiently by the Motion before their effects in time. ... But if the action is not immediately and another, it is not necessary that the manufacturer a precondition to a standing of the matter, as it seems to be the case, in lighting technology. Consequently, it does not necessarily follows that if God is the cause of the world, it must be long before in the world, because the establishment, which he the world, not a change each other ... "

It is at least conceivable, Thomas argues that the world coexisted of eternity with God, in its existence can be convened in the world was created - roughly the same way as the light the existence of the 'lighting product immediately. Paradoxically, however, Thomas will not be granted eternity in the world, is an attribute of God alone. The continuation Boathouse, Thomas thinks of eternity "while its total ownership and endless perfect life”. For example, this can only ever be awarded to a matter in which there is no change, no inheritance, “not before and after”. But in the world, it is, of course, "before and after". So, strictly speaking, the world can not last forever. But Thomas, who recalled not exclude the possibility of eternity in the world, he never, but as to whether and the eternity of which he accepts ... or more readily accepted as a possibility, rational, but one that should be rejected in the first sentence of Genesis.




Thomas and Bonaventure distinguished:

It is there, while Thomas and Bonaventure distinguished: deny, if both the possibility of the existence of the world forever on the basis of revelation, Bonaventure never the opportunity, on the basis of reason, too. The idea that the world always has, closes in Bonaventure, is logically absurd. Because if the world is not a beginning, the period is infinite. And it goes against the views of the infinity of time in the world Bonaventure that managers their three main arguments:

1) After Bonaventure: "It's impossible, for inclusion in the infinite." The infinite duration of the world would an infinite number of revolutions of the sun and the moon, and every new day or month would like to have another Revolution...

2) After Bonaventure: "It's impossible, endless order." An infinite past, not the first revolution, and if the first, then no second, and if not the second, then not the third, and so on. But until today we have noticed sequence of days and months.

3) After Bonaventure: "It is impossible, this is infinite." Even an infinite past mean that an unlimited number of rounds have passed, and we came to this. Nevertheless, we succeeded, the revolution, that day and month.




Thomas treated ....

Thomas treated the first of these issues in the sum against the pagans. For Bonaventure, an infinite sequence that can not be ordered, because they do not have duration of initially - for example, a first revolution - Thomas replied that there is a difficulty, if infinitely, as both the existing time, however, does’t there are at once, but after the other. "Comp Rise in this direction," says Thomas, "everything is finished infinite." In other words, each revolution lunar landing ferry (we say) requires only that an earlier revolution to be supplemented to the next life. The new revolution depends not only there was an initial revolution, only a precedent. A first revolution would be necessary, the "order" infinite sequence, when all at once there revolutions.

Bonaventura, the argument that the infinity can not be added, Thomas replied: "There is nothing to prevent an infinitely to the page is finished." In other words, the infinite duration of the world means an infinite past, an infinitely means an infinite past in a single direction, but not both. For example, if a new revolution of the moon is the age of the world, they are in the party quits the party, an end to the time that now from our experience.

Thomas reply to the third objection Bonaventure that infinity can not be delayed, is back in the theological sum. "Passage," he says, "is always like end to end. Whatever past, we chose the moment there is a finite number of days can be moved. Once again, Infinity will be terminated. Thomas answer here is in essence a reminder of his answers to the two previous objections; it includes an obstinate refusal to consider the concept of unlimited duration in its entirety. Thomas has, so to speak, it has rejected in the stage Bonaventure. What this refusal is justified logical, or just strategically, is the question I now respond.


What do you think about the biginning of the"World"???

The signing of cosmological debate of the last century was the origin of the universe. Two of the main points for support to the hearts and minds of professionals and lay people: the theory of the Big Bang and Steady State Theory. The first, triumphant days, believes that the world began at a time with a unique cataclysmic explosion of matter and space, now largely abandoned, believes that the world is not at the top of the times, he always Den and will always happen.

Amazingly Big Bang-steady-state controversy has a logical sequence in a philosophical debate between medieval scholasticism St. Bonaventure and Saint Thomas Aquinas. Well, sort of. The two Bonaventura and Thomas were Big Bangers in the sense that everybody accepts, as applicable, the first line of Genesis - "In the beginning God created heaven and earth." But Thomas is a contract, De Determinate Mundey and keep it from the beginning of the world can not be demonstrated; logically, only disclosure compels us to believe that the world is not always available. On the other hand, Bonaventure, that the world is logical detectable since the point of view, however - that the world has always existed - can be shown that absurd. In this study, I will argue that Bonaventure was right to the top of the world is in fact demonstrated that the position of Thomas is by its own logic.

But at the beginning, and perhaps counter intuitively, it is necessary to clarify that these two thinkers to hear, "the world". Bonaventure, for example, recognizes the world as something ", according to the non-being". He was indeed the rules a priori the possibility that it's always been. What is important to note, however, he describes the world as identical to be created? Thomas creation referred to as "the result for all and continues:




the outcome of the whole universal ...

"Therefore, the outcome of the whole universal ... is taken into account, it is impossible that everything must be set in this expression. Well, nothing is identical to be no. ... So the establishment, which by all is being provided, not his that is anything?

If we accept Bonaventura and Thomas of the concept of creation of the world that the creation of the will, that "his" can be justified by all matters. In other words, the "thing" matters, including matters that are not really exist, the people. For example, Einkorn does not exist, but they are always there, they are capable of existing things. Bonaventura and Thomas consider this idea, from Aristotle, which states that the fact to be what it contains "reality" or "potentially”. It is the sentence, what is or can be. Non-be, which in turn must do everything, what does not and can not, where, Thomas refers to the non-authoritarian, in the above as "unacceptable" or "nothing".

But the distinction between what can and what should be no sense, except in the light of the laws of thinking - Thomas, in a discussion of the Auto-evidentially, calls the first principles of demonstration ":

"A proposal is clear because the predicate is in the nature of the object: for example, is the man an animal of animals is the essence of man. So when the 'gasoline and the most important issue is known to all, the proposals of itself to all, as it is clear in relation to the first principles of demonstration, the conditions are some of the terms that no one


Proposals significantly

Proposals significantly. For example, the allegation "Socrates kills" makes sense only if it is simultaneously a rejection of "Socrates is not fatal." In addition, it is only in relation to these first principles, you can describe, which describes how Thomas, in accordance with the possibilities. For example, a gifted rock is not possible, it may not be. That is a contradiction in the words: a stone, by definition, is a consentient - which means that a gifted stone was a "sensitive, not to be gifted." The fact that his definition is itself - opposition, while a predicate claims and refuse to make a stone sensitive unthinkable deny the possibility of themselves. But as we know, that a stone talented not in a place unknown? What to do when a space probe sets one day on a distant planet and a stone screams in pain? "The answer is that time is a" stone "is characterized by a sense that he has ceased to be good, not by definition, there are no more than a stone. The opposition can never be taught.

After the first principles that may not be in a logical sense, literally everything is unthinkable, can not in a real sense. This combination of logic and reality is efficient way the horizon of the world to understand our eyes. Predicates contradictory and can not be denied claims that the rational opposition rejected the initiative; it is about the continuity of rational rejects. It is clear what Thomas thinks when he says that "everything is where it was compassable" and that "can not be understood, because apart from the fact understood to be.

That can not be designed, which is a violation of the principles first, it may not be.


Friday, May 23, 2008

The Beggining

Within an hour early? Isaac Newton, whose disquisitions in time and space in his Philosophiae Naturalis Principia Mathematica has been decisive for conventional perceptions of space and time of the Einsteinian reigned until the Revolution, has decided not. Although Newton has found the traditional Christian doctrine of the creation ex nihilism, he did not think that the beginning of the universe implicitly the beginning of space and time. Newton is known, decided that, before the beginning of the universe, there was an infinite period free of all physical operations, anfangslosen at a time when one finished one point before the universe was born. For Newton confidence hours of our time, but a "reasonable" this absolute time, which, as he said, "of himself and his own nature, flows equably without reference to something Lichee's, and under another name lists duration.

The prospect of this vacuum, anfangslosen hours before the beginning of the universe, seemed to many a scandal, because in the absence of any support, which seems bizarre, to say that the term itself is present. But Newton, who had wholeheartedly! Those who Envision absolute Newton as a mere period of time without any relation with the grounding and in each subject or as a substance sustainable have not yet understood metaphysical Newton's views. For Newton designed, absolute time as based on the existence of God is necessary. In general, Scholium on Principia, Newton notes that "It is admitted that all tertiary institutions are necessarily of God yes, Newton decided that "all the natural diversity of things that we find, at different times Adapted and places could emerge from nothing, but ideas are necessarily on an existing entity - and by the same need, there is always and everywhere. How an entity that is absolutely there, God must exist forever who participated in involve Newton, former and eternal duration. He writes,

It is eternal and infinite. . ., Ie, its duration varies from centuries of centuries, the presence of infinity to infinity. . . . It is not eternity and the infinite, eternal and infinite, it is not the time or space, but it is and remains. It remains forever, and it is present everywhere, and by that exist there and everywhere, it represents the time and space. Given that each part of space is always, and each time the appointment is regarded as the producer and lord of all things and can never nowhere.

For God is eternal, there is an eternal duration, and because it is ubiquitous, there is an infinity of space. Absolute time and space are therefore dependent on the existence of God. Newton elsewhere, it also expresses, they are "emanative impact" of the existence of God. Thus, for early Newton of the universe does not mean the beginning of the period, because there is the time the establishment, there was God, infinitely anfangslosen sustainable in this age when he created the world.

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