PROOF:
+ and - are equivalent but opposite of each other. It is a binary set.
+ (positive) affirms something for what it is.
- (negative) denies what something is, and, in a binary set, affirms the opposite.
-1 * -1 may be interpreted as "negative" or opposite of "-1"
And that is "+1" in a binary set such as above.
The above is a proof using basic considerations. It may be expressed better, but what is expressed above is the essential logic.
In mathematics, one ultimately proves what one is considering in the first place (circular logic). This is pretty obvious with basic relationships, such as the one above.
Vinaire
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From: Sarthak Chandra <sarthak_loves_math@yahoo.co.in>
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Sent: Thursday, October 11, 2007 11:56:19 PM
Subject: [Math4u] can this be proved
From: Sarthak Chandra <sarthak_loves_math@yahoo.co.in>
To: "compute@onelist.com" <compute@onelist.com>; "dlsu_math_circle@yahoogroups.com" <dlsu_math_circle@yahoogroups.com>; "harmonicanalysis@yahoogroups.com" <harmonicanalysis@yahoogroups.com>; "india-math@yahoogroups.com" <india-math@yahoogroups.com>; "math4u@yahoogroups.com" <math4u@yahoogroups.com>; "math_club@yahoogroups.com" <math_club@yahoogroups.com>; "mathc@yahoogroups.com" <mathc@yahoogroups.com>; "matholympiad2@yahoogroups.com" <matholympiad2@yahoogroups.com>; "maths@yahoogroups.com" <maths@yahoogroups.com>; "numbertheory@yahoogroups.com" <numbertheory@yahoogroups.com>; "ooclubinfinityoo@yahoogroups.com" <ooclubinfinityoo@yahoogroups.com>; "sphericalcow@yahoogroups.com" <sphericalcow@yahoogroups.com>; "theartofcomputerprogramming@yahoogroups.com" <theartofcomputerprogramming@yahoogroups.com>; "truenumber@yahoogroups.com" <truenumber@yahoogroups.com>
Sent: Thursday, October 11, 2007 11:56:19 PM
Subject: [Math4u] can this be proved
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