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What's wrong with this bogus proof?
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$begingroup$
What is the mistake here? Is it matter of the unit?
discrete-mathematics proof-verification
asked 56 mins ago
ShinobuIsMyWifeShinobuIsMyWife
313
$endgroup$
add a comment |
$begingroup$
What is the mistake here? Is it matter of the unit?
discrete-mathematics proof-verification
asked 56 mins ago
ShinobuIsMyWifeShinobuIsMyWife
313
$endgroup$
5
$begingroup$
Yes, the units don’t match across the 2nd equals sign
$endgroup$
– Alex
54 mins ago
2
$begingroup$
Yes, you have to square the unit. Conversion of squared units is different: if 100 cents is a dollar, then $100^2$ cents squared is a dollar squred.
$endgroup$
– Dean Young
54 mins ago
add a comment |
$begingroup$
What is the mistake here? Is it matter of the unit?
discrete-mathematics proof-verification
asked 56 mins ago
ShinobuIsMyWifeShinobuIsMyWife
313
$endgroup$
What is the mistake here? Is it matter of the unit?
discrete-mathematics proof-verification
discrete-mathematics proof-verification
asked 56 mins ago
ShinobuIsMyWifeShinobuIsMyWife
313
asked 56 mins ago
ShinobuIsMyWifeShinobuIsMyWife
313
asked 56 mins ago
ShinobuIsMyWifeShinobuIsMyWife
313
asked 56 mins ago
ShinobuIsMyWifeShinobuIsMyWife
313
asked 56 mins ago
ShinobuIsMyWifeShinobuIsMyWife
313
313
5
$begingroup$
Yes, the units don’t match across the 2nd equals sign
$endgroup$
– Alex
54 mins ago
2
$begingroup$
Yes, you have to square the unit. Conversion of squared units is different: if 100 cents is a dollar, then $100^2$ cents squared is a dollar squred.
$endgroup$
– Dean Young
54 mins ago
add a comment |
5
$begingroup$
Yes, the units don’t match across the 2nd equals sign
$endgroup$
– Alex
54 mins ago
2
$begingroup$
Yes, you have to square the unit. Conversion of squared units is different: if 100 cents is a dollar, then $100^2$ cents squared is a dollar squred.
$endgroup$
– Dean Young
54 mins ago
5
5
$begingroup$
Yes, the units don’t match across the 2nd equals sign
$endgroup$
– Alex
54 mins ago
$begingroup$
Yes, the units don’t match across the 2nd equals sign
$endgroup$
– Alex
54 mins ago
2
2
$begingroup$
Yes, you have to square the unit. Conversion of squared units is different: if 100 cents is a dollar, then $100^2$ cents squared is a dollar squred.
$endgroup$
– Dean Young
54 mins ago
$begingroup$
Yes, you have to square the unit. Conversion of squared units is different: if 100 cents is a dollar, then $100^2$ cents squared is a dollar squred.
$endgroup$
– Dean Young
54 mins ago
add a comment |
2 Answers
2
active
oldest
votes
$begingroup$
$$0.01=(sqrt{$}0.1)^2$, not $($0.1)^2$.
answered 50 mins ago
ArthurArthur
117k7116200
$endgroup$
add a comment |
$begingroup$
You can clearly see the fallacy if you keep track of the units:
In the second equality, $$0.01 = $0.1times $0.1$ is not true, if you are doing units.
Even if the second equality were true, the third one gives problems: since $c=$/100$, you have
$$
($0.1)^2=left(frac c{100},0.1right)^2=frac{c^2}{100}timesfrac1{10}=frac{c^2}{1000}.
$$
This is not $(10c)^2=100c^2$.
In conclusion, two equalities are bogus, and so is the argument.
edited 31 mins ago
J. W. Tanner
3,0981320
answered 49 mins ago
Martin ArgeramiMartin Argerami
128k1184184
$endgroup$
add a comment |
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2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
$$0.01=(sqrt{$}0.1)^2$, not $($0.1)^2$.
answered 50 mins ago
ArthurArthur
117k7116200
$endgroup$
add a comment |
$begingroup$
$$0.01=(sqrt{$}0.1)^2$, not $($0.1)^2$.
answered 50 mins ago
ArthurArthur
117k7116200
$endgroup$
add a comment |
$begingroup$
$$0.01=(sqrt{$}0.1)^2$, not $($0.1)^2$.
answered 50 mins ago
ArthurArthur
117k7116200
$endgroup$
$$0.01=(sqrt{$}0.1)^2$, not $($0.1)^2$.
answered 50 mins ago
ArthurArthur
117k7116200
answered 50 mins ago
ArthurArthur
117k7116200
answered 50 mins ago
ArthurArthur
117k7116200
answered 50 mins ago
ArthurArthur
117k7116200
117k7116200
add a comment |
add a comment |
$begingroup$
You can clearly see the fallacy if you keep track of the units:
In the second equality, $$0.01 = $0.1times $0.1$ is not true, if you are doing units.
Even if the second equality were true, the third one gives problems: since $c=$/100$, you have
$$
($0.1)^2=left(frac c{100},0.1right)^2=frac{c^2}{100}timesfrac1{10}=frac{c^2}{1000}.
$$
This is not $(10c)^2=100c^2$.
In conclusion, two equalities are bogus, and so is the argument.
edited 31 mins ago
J. W. Tanner
3,0981320
answered 49 mins ago
Martin ArgeramiMartin Argerami
128k1184184
$endgroup$
add a comment |
$begingroup$
You can clearly see the fallacy if you keep track of the units:
In the second equality, $$0.01 = $0.1times $0.1$ is not true, if you are doing units.
Even if the second equality were true, the third one gives problems: since $c=$/100$, you have
$$
($0.1)^2=left(frac c{100},0.1right)^2=frac{c^2}{100}timesfrac1{10}=frac{c^2}{1000}.
$$
This is not $(10c)^2=100c^2$.
In conclusion, two equalities are bogus, and so is the argument.
edited 31 mins ago
J. W. Tanner
3,0981320
answered 49 mins ago
Martin ArgeramiMartin Argerami
128k1184184
$endgroup$
add a comment |
$begingroup$
You can clearly see the fallacy if you keep track of the units:
In the second equality, $$0.01 = $0.1times $0.1$ is not true, if you are doing units.
Even if the second equality were true, the third one gives problems: since $c=$/100$, you have
$$
($0.1)^2=left(frac c{100},0.1right)^2=frac{c^2}{100}timesfrac1{10}=frac{c^2}{1000}.
$$
This is not $(10c)^2=100c^2$.
In conclusion, two equalities are bogus, and so is the argument.
edited 31 mins ago
J. W. Tanner
3,0981320
answered 49 mins ago
Martin ArgeramiMartin Argerami
128k1184184
$endgroup$
You can clearly see the fallacy if you keep track of the units:
In the second equality, $$0.01 = $0.1times $0.1$ is not true, if you are doing units.
Even if the second equality were true, the third one gives problems: since $c=$/100$, you have
$$
($0.1)^2=left(frac c{100},0.1right)^2=frac{c^2}{100}timesfrac1{10}=frac{c^2}{1000}.
$$
This is not $(10c)^2=100c^2$.
In conclusion, two equalities are bogus, and so is the argument.
edited 31 mins ago
J. W. Tanner
3,0981320
answered 49 mins ago
Martin ArgeramiMartin Argerami
128k1184184
edited 31 mins ago
J. W. Tanner
3,0981320
edited 31 mins ago
J. W. Tanner
3,0981320
edited 31 mins ago
J. W. Tanner
3,0981320
3,0981320
answered 49 mins ago
Martin ArgeramiMartin Argerami
128k1184184
answered 49 mins ago
Martin ArgeramiMartin Argerami
128k1184184
answered 49 mins ago
Martin ArgeramiMartin Argerami
128k1184184
128k1184184
add a comment |
add a comment |
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5
$begingroup$
Yes, the units don’t match across the 2nd equals sign
$endgroup$
– Alex
54 mins ago
2
$begingroup$
Yes, you have to square the unit. Conversion of squared units is different: if 100 cents is a dollar, then $100^2$ cents squared is a dollar squred.
$endgroup$
– Dean Young
54 mins ago