Formal Logic Question , need help

integralx2
Posts: 37
Joined: Sat Jan 02, 2010 9:58 pm

Formal Logic Question , need help

Postby integralx2 » Wed Aug 10, 2011 9:35 pm

Ok, for example :

All Ts are older then M's
A majority, but not all S's are older than any M's.
All M's are older then any D's

I am struggling on setting up the formal logic for this set of conditions. Can someone explain how to set this up ? And what inferences can be made ?
Last edited by integralx2 on Wed Aug 10, 2011 9:48 pm, edited 1 time in total.

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EarlCat
Posts: 610
Joined: Mon Mar 12, 2007 4:04 pm

Re: Formal Logic Question , need help

Postby EarlCat » Wed Aug 10, 2011 9:43 pm

integralx2 wrote:Ok, for example :

All Ts are older then M's
A majority, but not all S's are older than any M's.
All G are older then any D's

I am struggling on setting up the formal logic for this set of conditions. Can someone explain how to set this up ? And what inferences can be made ?


Not much to infer, really. You know some (maybe all) Ss are younger than Ts. You have no idea the relationship between Ts, Ms, or Ss to Gs or Ds. You also have no idea if any Ss are older than Ts or if any Ss are younger than Ms.

integralx2
Posts: 37
Joined: Sat Jan 02, 2010 9:58 pm

Re: Formal Logic Question , need help

Postby integralx2 » Wed Aug 10, 2011 9:48 pm

EarlCat wrote:
integralx2 wrote:Ok, for example :

All Ts are older then M's
A majority, but not all S's are older than any M's.
All G are older then any D's

I am struggling on setting up the formal logic for this set of conditions. Can someone explain how to set this up ? And what inferences can be made ?


Not much to infer, really. You know some (maybe all) Ss are younger than Ts. You have no idea the relationship between Ts, Ms, or Ss to Gs or Ds. You also have no idea if any Ss are older than Ts or if any Ss are younger than Ms.


I made a mistake. I meant to say M, but wrote G for the 3rd line.

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EarlCat
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Re: Formal Logic Question , need help

Postby EarlCat » Thu Aug 11, 2011 2:57 am

My head asplode.

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Blessedassurance
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Joined: Mon Jun 27, 2011 3:42 pm

Re: Formal Logic Question , need help

Postby Blessedassurance » Thu Aug 11, 2011 3:30 am

integralx2 wrote:Ok, for example :

All Ts are older then M's
A majority, but not all S's are older than any M's.
All M's are older then any D's

I am struggling on setting up the formal logic for this set of conditions. Can someone explain how to set this up ? And what inferences can be made ?


Inferences:

All T's are older than D's

A majority but not all S's are older than any D's.

If a member of S is Older than M, that member is also older than D

If a member of S is not older than M, that member is younger than T




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