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In [[classical logic]], '''hypothetical syllogism''' is a [[validity|valid]] [[argument form]] which is a [[syllogism]] having a [[Material conditional|conditional statement]] for one or both of its [[premise]]s.<ref>Hurley</ref><ref>Copi and Cohen</ref>
 
:If I do not wake up, then I cannot go to work.
:If I cannot go to work, then I will not get paid.
:Therefore, if I do not wake up, then I will not get paid.
 
In [[propositional logic]], '''hypothetical syllogism''' is the name of a valid [[rule of inference]]<ref>Hurley</ref><ref>Copi and Cohen</ref> (often abbreviated '''HS''' and sometimes also called the '''chain argument''', '''chain rule''', or the principle of '''transitivity of implication'''). Hypothetical syllogism is one of the rules in [[classical logic]] that is not always accepted in certain [[formal system|systems]] of [[non-classical logic]]. The rule may be stated:
 
:<math>\frac{P \to Q, Q \to R}{\therefore P \to R}</math>
 
where the rule is that whenever instances of "<math>P \to Q</math>", and "<math>Q \to R</math>" appear on lines of a [[formal proof|proof]], "<math>P \to R</math>" can be placed on a subsequent line.
 
Hypothetical syllogism is closely related and similar to [[disjunctive syllogism]], in that it is also type of syllogism, and also the name of a rule of inference.
 
== Formal notation ==
The ''hypothetical syllogism'' rule may be written in [[sequent]] notation:
 
: <math>(P \to Q), (Q \to R) \vdash (P \to R)</math>
 
where <math>\vdash</math> is a [[metalogic]]al symbol meaning that <math>P \to R</math> is a [[logical consequence|syntactic consequence]] of <math>P \to Q</math>, and <math>Q \to R</math> in some [[formal system|logical system]];
 
and expressed as a truth-functional [[tautology (logic)|tautology]] or [[theorem]] of [[propositional calculus|propositional logic]]:
 
:<math>((P \to Q) \and (Q \to R)) \to (P \to R)</math>
 
where <math>P</math>, <math>Q</math>, and <math>R</math> are propositions expressed in some [[formal system]].
 
==See also==
*[[Affirming the consequent]]
*[[Denying the antecedent]]
*[[Transitive relation]]
 
== External links ==
*[http://www.philosophy-index.com/logic/forms/hypothetical-syllogism.php Philosophy Index: Hypothetical Syllogism]
 
==References==
{{Reflist}}
 
{{DEFAULTSORT:Hypothetical Syllogism}}
[[Category:Rules of inference]]
[[Category:Theorems in propositional logic]]
[[Category:Classical logic]]
[[Category:Syllogism]]

Latest revision as of 15:23, 4 January 2015

With numerous weight reduction diets, plans, programs and unusual methods popping up like popcorn, it's absolutely getting difficult to identify the best way to lose weight.

Some experts may say "never". But the reality is that numerous women have employed them and have been lucrative in the short expression. The leading matter to consider is whether or not you may be healthy enough to partake inside the diet. As an example, should you are diabetic or have different health conditions, this can not be the ideal solution for we. Speaking to a doctor will be your right bet. If you are inside advantageous health than fad diet plans quick can be OK for you.

For the men, and ladies, which wish To change their 12 pack into a 6 pack, Tom Venuto's Burn the Fat plan comes inside handy. Tom shares twenty years of experience inside his diet plan, and muscle booster. He shows how to turn some fat into muscle, and shed the remainder of unhealthy fat for superior. This is perfect for those whom would very not take diet pills, or supplements, and keeping a metabolism at bay. Tom is a specialist, plus knowledged in "physical" research whenever it comes to the human body. Burn the Fat, Feed the Muscle 337 page book by Tom Ventuno has been rated significant on those that have experienced Tom's weight loss plan and muscle builder initially hand. For providing a life-time diet plan that does so much inside only a couple of days a week results inside the rightful place found on the list of the best ten diet plans.

Whole grains: if you would like to take grainy foods, go for beans and/ brown rice. Foods that are rich in complete grains mean that its outer kernel, vitamin and inner mineral haven't been removed.

Thus, Fischer guarantees in the event you follow her nutritional wellness program over 8 weeks, it is possible to eat plus sip the method into a new, prettier hunting skin. She doesn't claim which the diets will be a permanent and miraculous cure for hereditary conditions like eczema. But, she does state which when you follow the principals of the diets which all of these conditions usually be greatly improved and controlled.

Many of the skin diet is prevalent sense. Fisher encourages fresh fruit and vegetable consumption plus the expenditure of wholegrains and fish. If you can't stand fish, she recommends linseeds, otherwise recognized as flaxseeds. However, the dietary system also includes additional items that are potent skin improvers, such as dandelion tea plus turmeric. She furthermore lists foods to avoid because they may aggravate specific skin conditions. Some of these goods, like chocolate and alcohol, will likely not surprise. But, a few of the products found on the list of foods may not be so obvious. For example, rosacea sufferers could avoid pineapple and strawberries.

However no matter what pancreatitis diet if you follow, ensure that you'll not take it in full meal. An excellent pancreatitis diet should be taken a small at a time. This helps the digestion task flow smoother and lesser work for the pancreas also.