Are \alpha and \beta logically equivalent if ~\alpha and ~\beta are?

  • Thread starter Thread starter cristina89
  • Start date Start date
  • Tags Tags
    Equivalent Logic
cristina89
Messages
29
Reaction score
0
Be \alpha and \beta two formulas of the propositional calculus, show that \alpha and \beta are logically equivalent if and only if ~\alpha and ~\beta are logically equivalent.
 
Physics news on Phys.org
cristina89 said:
Be \alpha and \beta two formulas of the propositional calculus, show that \alpha and \beta are logically equivalent if and only if ~\alpha and ~\beta are logically equivalent.

Is this a homework question? If so, it should be posted in the homework section: precalculus mathematics. In any case, you need to show your attempt at a solution.
 
What is your definition of "logically equivalent"?
 

Thread 'Here's a Statistics problem for game of Polo (or Hockey if you like)'

Namaste & G'day Postulate: A strongly-knit team wins on average over a less knit one Fundamentals: - Two teams face off with 4 players each - A polo team consists of players that each have assigned to them a measure of their ability (called a "Handicap" - 10 is highest, -2 lowest) I attempted to measure close-knitness of a team in terms of standard deviation (SD) of handicaps of the players. Failure: It turns out that, more often than, a team with a higher SD wins. In my language, that...
View full post »

Thread 'Roulette wheel physics and probability'

Hi all, I've been a roulette player for more than 10 years (although I took time off here and there) and it's only now that I'm trying to understand the physics of the game. Basically my strategy in roulette is to divide the wheel roughly into two halves (let's call them A and B). My theory is that in roulette there will invariably be variance. In other words, if A comes up 5 times in a row, B will be due to come up soon. However I have been proven wrong many times, and I have seen some...
View full post »

Similar threads

MHB What is the Tautology in the Given Logical Equivalence?
Replies
2
Views
1K
I Does the generalized gamma distribution have a mgf?
Replies
1
Views
2K
I Write probability in terms of shape parameters of beta distribution
Replies
1
Views
2K
MHB How Do We Find the Logical Negation of Statements?
Replies
6
Views
1K
A Is the binomial a special case of the beta binomial?
Replies
2
Views
1K
MHB Logical Implication: Evaluating Truth of Claims
Replies
5
Views
2K
MHB Upper Bound of Sets and Sequences: Analyzing Logic
Replies
3
Views
5K
MHB Please help with bool algebra and logic things
Replies
2
Views
2K
I Constant phase factors in wavefunctions
Replies
5
Views
1K
A Fundamental sequences for the Veblen hierarchy of ordinals
Replies
6
Views
2K

Hot Threads

Recent Insights

Back
Top