Naccache–Stern cryptosystem: Difference between revisions
en>Nageh m categories |
en>Yobot m →References: WP:CHECKWIKI error fixes - Replaced endash with hyphen in sortkey per WP:MCSTJR using AWB (9100) |
||
Line 1: | Line 1: | ||
{{for|the book|Theory of everything (book)}} | |||
In philosophy, a '''theory of everything''' or '''ToE''' is an ultimate, all-encompassing explanation of [[nature]] or [[reality]].<ref name=Rescher2006a>Rescher, Nicholas (2006a). "Holistic Explanation and the Idea of a Grand Unified Theory". ''Collected Papers IX: Studies in Metaphilosophy''.</ref><ref name=Rescher2006b>Rescher, Nicholas (2006b). "The Price of an Ultimate Theory". ''Collected Papers IX: Studies in Metaphilosophy''. ([http://books.google.gr/books?id=_mpL0m3QYdYC&dq=price+ultimate+theory+rescher&source=gbs_navlinks_s Googlebooks preview])</ref><ref name=Walker2002>Walker, Mark Alan (March 2002). [http://www.jetpress.org/volume10/prolegomena.html "Prolegomena to Any Future Philosophy"]. ''Journal of Evolution and Technology'' Vol. 10.</ref> Adopting the term from physics, where the search for a [[theory of everything]] is ongoing, philosophers have discussed the viability of the concept and analyzed its properties and implications.<ref name=Rescher2006a/><ref name=Rescher2006b/><ref name=Walker2002/> Among the questions to be addressed by a philosophical theory of everything are: "Why is reality understandable?" "Why are the laws of nature as they are?" "Why is there anything at all?"<ref name=Rescher2006a/> | |||
== Comprehensive philosophical systems== | |||
The [[Metaphysics#Styles_and_methods_of_metaphysics|"system building"]] style of [[metaphysics]] attempts to answer ''all'' the important questions in a coherent way, providing a complete picture of the world. [[Plato]] and [[Aristotle]] could be said to be early examples of comprehensive systems. In the early modern period (17th and 18th centuries), the system-building ''scope'' of philosophy is often linked to the rationalist ''method'' of philosophy, that is the technique of deducing the nature of the world by pure ''[[a priori and a posteriori|apriori]]'' reason. Examples from the early modern period include the [[Gottfried Wilhelm Leibniz|Leibniz]]'s [[Monadology]], [[Descarte]]'s [[Dualism]], [[Spinoza]]'s [[Monism]]. [[Hegel]]'s [[Absolute idealism]] and [[Alfred North Whitehead|Whitehead]]'s [[Process philosophy]] were later systems. | |||
Other philosophers do not believe its techniques can aim so high. Some scientists think a more mathematical approach than philosophy is needed for a TOE, for instance [[Stephen Hawking]] wrote in ''[[A Brief History of Time]]'' that even if we had a TOE, it wouldn't necessarily be a set of equations. He wrote, “What is it that breathes fire into the equations and makes a universe for them to describe?”.<ref>as quoted in [Artigas, ''The Mind of the Universe'', p.123]</ref> | |||
==Nicholas Rescher== | |||
=== Properties and impasse of self-substantiation === | |||
In “The Price of an Ultimate Theory”,<ref name=Rescher2006b/> originally published in 2000, [[Nicholas Rescher]] specifies what he sees as the principal properties of a Theory of Everything and describes an apparent impasse on the road to such a theory. | |||
=== Properties === | |||
==== Principle of sufficient reason ==== | |||
First, he takes as a presupposition the [[principle of sufficient reason]], which in his formulation states that every fact ''t'' has an explanation ''t''': | |||
:<math>\forall t \, \exists t' \, (t'\ E\ t)</math> | |||
where E predicates explanation, so that ''t<nowiki>'</nowiki>'' E ''t'' denotes "''t''' explains ''t''". | |||
==== Comprehensiveness ==== | |||
Next, he asserts that the most direct and natural construction of a Theory of Everything ''T*'' would confer upon it two crucial features: comprehensiveness and finality. Comprehensiveness says that wherever there is a fact ''t'', ''T*'' affords its explanation: | |||
:<math>\forall t \, (T^*\ E\ t)</math> | |||
==== Finality ==== | |||
Finality says that as an “ultimate theory”, ''T*'' has no deeper explanation: | |||
:<math>\forall t \, ((t\ E\ T^*) \to (t = T^*))</math> | |||
so that the only conceivable explanation of ''T*'' is ''T*'' itself. | |||
==== Noncircularity ==== | |||
Rescher notes that it is obviously problematic to deploy a theory for its own explanation; at the heart of the traditional conception of explanatory adequacy, he says, is a principle of noncircularity stating that no fact can explain itself: | |||
:<math>\nexists t \, (t\ E\ t)</math> | |||
==== Impasse ==== | |||
The impasse is then that the two critical aspects of a Theory of Everything, comprehensiveness and finality, conflict with the fundamental principle of noncircularity. A comprehensive theory which explains everything must explain itself, and a final theory which has no deeper explanation must, by the principle of sufficient reason, have ''some'' explanation; consequently it too must be self-explanatory. Rescher concludes that any Theorist of Everything committed to comprehensiveness and finality is bound to regard noncircularity as “something that has to be jettisoned”. But how, he asks, can a theory adequately substantiate itself? | |||
=== Ways forward === | |||
Rescher's proposal in "The Price of an Ultimate Theory" is to dualize the concept of explanation so that a fact can be explained either ''derivationally'', by the premises which lead to it, or ''systemically'', by the consequences which follow from it. With derivational explanation, a fact ''t'' is explained when it is subsumed by some prior, more fundamental fact ''t'''. With systemic explanation, ''t'' is explained when it is a "best fit" for its consequences, where fitness is measured by uniformity, simplicity, connectedness, and other criteria conducive to systemic integration. Rescher concludes that while a theory of everything cannot be explained derivationally (since no deeper explanation can subsume it), it can be explained systemically by its capacity to integrate its consequences. | |||
In his 1996 book ''The Conscious Mind'',<ref>{{cite book|title=The Conscious Mind: In Search of a Fundamental Theory|author=Chalmers, David J.|year=1996|pages=126–127}}</ref> [[David Chalmers]] argues that a theory of everything must explain [[consciousness]], that consciousness does not logically [[supervene]] on the physical, and that therefore a fundamental theory in physics would not be a theory of everything. A truly final theory, he argues, needs not just physical properties and laws, but [[phenomenal]] or protophenomenal properties and [[psychophysical]] laws explaining the relationship between physical processes and conscious experience. He concludes that "[o]nce we have a fundamental theory of consciousness to accompany a fundamental theory in physics, we may truly have a theory of everything." Developing such a theory will not be straightforward, he says, but "it ought to be possible in principle." | |||
In "Prolegomena to Any Future Philosophy",<ref name=Walker2002/> a 2002 essay in the ''[[Journal of Evolution and Technology]]'', [[Mark Alan Walker]] discusses modern responses to the question of how to reconcile "the apparent finitude of humans" with what he calls "the traditional telos of philosophy—the attempt to unite thought and Being, to arrive at absolute knowledge, at a final theory of everything." He contrasts two ways of closing this "gap between the ambitions of philosophy, and the abilities of human philosophers": a "deflationary" approach in which philosophy is "scaled down into something more human" and the attempt to achieve a theory of everything is abandoned, and an "inflationary", [[transhumanist]] approach in which philosophers are "scaled up" by advanced technology into "super-intelligent beings" better able to pursue such a theory. | |||
=== Criticism === | |||
In "Holistic Explanation and the Idea of a Grand Unified Theory",<ref name=Rescher2006a/> originally presented as a lecture in 1998, Rescher identifies two negative reactions to the idea of a unified, overarching theory: reductionism and rejectionism. Reductionism holds that large-scale philosophical issues can be meaningfully addressed only when divided into lesser components, while rejectionism holds that questions about such issues are illegitimate and unanswerable. Against reductionism, Rescher argues that explaining individual parts does not explain the coordinating structure of the whole, so that a collectivized approach is required. Against rejectionism, he argues that the question of the 'reason'-the'why'-behind existence is pressing, important, and not obviously meaningless. | |||
== See also == | |||
*[[Theory of everything|Theory of everything (physics)]] | |||
== References == | |||
{{reflist}} | |||
[[Category:Metaphysical theories]] |
Revision as of 18:33, 20 April 2013
28 year-old Painting Investments Worker Truman from Regina, usually spends time with pastimes for instance interior design, property developers in new launch ec Singapore and writing. Last month just traveled to City of the Renaissance. In philosophy, a theory of everything or ToE is an ultimate, all-encompassing explanation of nature or reality.[1][2][3] Adopting the term from physics, where the search for a theory of everything is ongoing, philosophers have discussed the viability of the concept and analyzed its properties and implications.[1][2][3] Among the questions to be addressed by a philosophical theory of everything are: "Why is reality understandable?" "Why are the laws of nature as they are?" "Why is there anything at all?"[1]
Comprehensive philosophical systems
The "system building" style of metaphysics attempts to answer all the important questions in a coherent way, providing a complete picture of the world. Plato and Aristotle could be said to be early examples of comprehensive systems. In the early modern period (17th and 18th centuries), the system-building scope of philosophy is often linked to the rationalist method of philosophy, that is the technique of deducing the nature of the world by pure apriori reason. Examples from the early modern period include the Leibniz's Monadology, Descarte's Dualism, Spinoza's Monism. Hegel's Absolute idealism and Whitehead's Process philosophy were later systems.
Other philosophers do not believe its techniques can aim so high. Some scientists think a more mathematical approach than philosophy is needed for a TOE, for instance Stephen Hawking wrote in A Brief History of Time that even if we had a TOE, it wouldn't necessarily be a set of equations. He wrote, “What is it that breathes fire into the equations and makes a universe for them to describe?”.[4]
Nicholas Rescher
Properties and impasse of self-substantiation
In “The Price of an Ultimate Theory”,[2] originally published in 2000, Nicholas Rescher specifies what he sees as the principal properties of a Theory of Everything and describes an apparent impasse on the road to such a theory.
Properties
Principle of sufficient reason
First, he takes as a presupposition the principle of sufficient reason, which in his formulation states that every fact t has an explanation t':
where E predicates explanation, so that t' E t denotes "t' explains t".
Comprehensiveness
Next, he asserts that the most direct and natural construction of a Theory of Everything T* would confer upon it two crucial features: comprehensiveness and finality. Comprehensiveness says that wherever there is a fact t, T* affords its explanation:
Finality
Finality says that as an “ultimate theory”, T* has no deeper explanation:
so that the only conceivable explanation of T* is T* itself.
Noncircularity
Rescher notes that it is obviously problematic to deploy a theory for its own explanation; at the heart of the traditional conception of explanatory adequacy, he says, is a principle of noncircularity stating that no fact can explain itself:
Impasse
The impasse is then that the two critical aspects of a Theory of Everything, comprehensiveness and finality, conflict with the fundamental principle of noncircularity. A comprehensive theory which explains everything must explain itself, and a final theory which has no deeper explanation must, by the principle of sufficient reason, have some explanation; consequently it too must be self-explanatory. Rescher concludes that any Theorist of Everything committed to comprehensiveness and finality is bound to regard noncircularity as “something that has to be jettisoned”. But how, he asks, can a theory adequately substantiate itself?
Ways forward
Rescher's proposal in "The Price of an Ultimate Theory" is to dualize the concept of explanation so that a fact can be explained either derivationally, by the premises which lead to it, or systemically, by the consequences which follow from it. With derivational explanation, a fact t is explained when it is subsumed by some prior, more fundamental fact t'. With systemic explanation, t is explained when it is a "best fit" for its consequences, where fitness is measured by uniformity, simplicity, connectedness, and other criteria conducive to systemic integration. Rescher concludes that while a theory of everything cannot be explained derivationally (since no deeper explanation can subsume it), it can be explained systemically by its capacity to integrate its consequences.
In his 1996 book The Conscious Mind,[5] David Chalmers argues that a theory of everything must explain consciousness, that consciousness does not logically supervene on the physical, and that therefore a fundamental theory in physics would not be a theory of everything. A truly final theory, he argues, needs not just physical properties and laws, but phenomenal or protophenomenal properties and psychophysical laws explaining the relationship between physical processes and conscious experience. He concludes that "[o]nce we have a fundamental theory of consciousness to accompany a fundamental theory in physics, we may truly have a theory of everything." Developing such a theory will not be straightforward, he says, but "it ought to be possible in principle."
In "Prolegomena to Any Future Philosophy",[3] a 2002 essay in the Journal of Evolution and Technology, Mark Alan Walker discusses modern responses to the question of how to reconcile "the apparent finitude of humans" with what he calls "the traditional telos of philosophy—the attempt to unite thought and Being, to arrive at absolute knowledge, at a final theory of everything." He contrasts two ways of closing this "gap between the ambitions of philosophy, and the abilities of human philosophers": a "deflationary" approach in which philosophy is "scaled down into something more human" and the attempt to achieve a theory of everything is abandoned, and an "inflationary", transhumanist approach in which philosophers are "scaled up" by advanced technology into "super-intelligent beings" better able to pursue such a theory.
Criticism
In "Holistic Explanation and the Idea of a Grand Unified Theory",[1] originally presented as a lecture in 1998, Rescher identifies two negative reactions to the idea of a unified, overarching theory: reductionism and rejectionism. Reductionism holds that large-scale philosophical issues can be meaningfully addressed only when divided into lesser components, while rejectionism holds that questions about such issues are illegitimate and unanswerable. Against reductionism, Rescher argues that explaining individual parts does not explain the coordinating structure of the whole, so that a collectivized approach is required. Against rejectionism, he argues that the question of the 'reason'-the'why'-behind existence is pressing, important, and not obviously meaningless.
See also
References
43 year old Petroleum Engineer Harry from Deep River, usually spends time with hobbies and interests like renting movies, property developers in singapore new condominium and vehicle racing. Constantly enjoys going to destinations like Camino Real de Tierra Adentro.
- ↑ 1.0 1.1 1.2 1.3 Rescher, Nicholas (2006a). "Holistic Explanation and the Idea of a Grand Unified Theory". Collected Papers IX: Studies in Metaphilosophy.
- ↑ 2.0 2.1 2.2 Rescher, Nicholas (2006b). "The Price of an Ultimate Theory". Collected Papers IX: Studies in Metaphilosophy. (Googlebooks preview)
- ↑ 3.0 3.1 3.2 Walker, Mark Alan (March 2002). "Prolegomena to Any Future Philosophy". Journal of Evolution and Technology Vol. 10.
- ↑ as quoted in [Artigas, The Mind of the Universe, p.123]
- ↑ 20 year-old Real Estate Agent Rusty from Saint-Paul, has hobbies and interests which includes monopoly, property developers in singapore and poker. Will soon undertake a contiki trip that may include going to the Lower Valley of the Omo.
My blog: http://www.primaboinca.com/view_profile.php?userid=5889534