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Topic: Proving a definition of multiplication (wrong) by induction
Replies: 19   Last Post: Feb 8, 2013 2:36 AM

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Jonathan Crabtree

Posts: 309
Registered: 12/19/10
Re: Proving a definition of multiplication (wrong) by induction
Posted: Feb 1, 2013 11:09 PM
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> Dave wrote in part...

I don't see anything of a mathematical concern here. You're simply arguing over the English-language meaning of the phrase "a added to a b times".

Hello again Dave.

Thank you again for your contribution. I really appreciate it.

In the following;

"ab = a added to itself b times" or
"ab = a added to a b times"

...the ambiguity about what 'times' refers to is really the essence of any confusion with definitions involving multiplication.

So to clarify, are you stating that in formal definitions, the word 'times' refers to the count of addends, or binary additions?

Thank you again.
Jonathan


Date Subject Author
1/28/13
Read Proving a definition of multiplication (wrong) by induction
Jonathan Crabtree
1/29/13
Read Re: Proving a definition of multiplication (wrong) by induction
GS Chandy
1/29/13
Read Re: Proving a definition of multiplication (wrong) by induction
Dave L. Renfro
1/29/13
Read Re: Proving a definition of multiplication (wrong) by induction
Jonathan Crabtree
1/29/13
Read Re: Proving a definition of multiplication (wrong) by induction
Jonathan Crabtree
1/30/13
Read Re: Proving a definition of multiplication (wrong) by induction
Dave L. Renfro
1/31/13
Read Re: Proving a definition of multiplication (wrong) by induction
GS Chandy
2/1/13
Read Re: Proving a definition of multiplication (wrong) by induction
Jonathan Crabtree
2/4/13
Read Re: Proving a definition of multiplication (wrong) by induction
Dave L. Renfro
2/4/13
Read Re: Proving a definition of multiplication (wrong) by induction
Robert Hansen
2/4/13
Read Re: Proving a definition of multiplication (wrong) by induction
Jonathan Crabtree
2/5/13
Read Re: Proving a definition of multiplication (wrong) by induction
Robert Hansen
2/5/13
Read Re: Proving a definition of multiplication (wrong) by induction
GS Chandy
2/5/13
Read Re: Proving a definition of multiplication (wrong) by induction
GS Chandy
2/5/13
Read Re: Proving a definition of multiplication (wrong) by induction
Dave L. Renfro
2/5/13
Read Re: Proving a definition of multiplication (wrong) by induction
Fernando Mancebo
2/6/13
Read Re: Proving a definition of multiplication (wrong) by induction
Jonathan Crabtree
2/6/13
Read Re: Proving a definition of multiplication (wrong) by induction
GS Chandy
2/6/13
Read Re: Proving a definition of multiplication (wrong) by induction
GS Chandy
2/8/13
Read Re: Proving a definition of multiplication (wrong) by induction
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