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Photo Discoverer 5.0.0.180: Windows Multimedia And Graphics Tools

Photo Discoverer 5.0.0.180: Windows Multimedia And Graphics Tools | 1.26 Mb

Main Features:

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Diff Disassembly:

Reflector diff disassembly output

Diff Inspection
You can use the Diff Inspection feature of Reflector to get information about differences between source code files. Reflector first compares the text of the selected source files and then displays the differences as a list, which you can expand into a detailed description.
Select ToolsInspection from the menu, and then choose Diff Inspection from the list. This opens a file chooser dialog where you can select the files you wish to compare.

Q:

Problem of the axiom of regularity in the logic of the reductio ad absurdum?

[this is question 11 in “Principles of Mathematical Logic” by A. Tarski, 1983, page 170].
So, according to Tarski in the deductive calculus, given \$P\$ and \$Q\$, the \$P\Rightarrow Q\$ would be equivalent to the introduction of a new constant, \$D\$.
Now, \$P\Rightarrow Q\$ would be equivalent to
\$\$\exists d\forall a (a\Rightarrow D) \wedge (D\Rightarrow Q)\$\$
\$\$\exists d\forall a ((a\Rightarrow d) \wedge (d\Rightarrow Q)\$\$
and this will be true iff
\$\$\exists d\forall a
eg (a\Rightarrow D)\$\$
\$\$\exists d\forall a
eg (d\Rightarrow Q)\$\$
Now, we take the \$D\$ into consideration in \$a\Rightarrow D\$, so we cannot use \$D\$ as a value in the \$\Rightarrow\$-elimination rule. Hence, we cannot “extract” \$Q\$ by a \$\Rightarrow\$-elimination rule, and so \$Q\$ cannot be derived from \$P\$ by the deduction calculus.
My questions are:

First of all, I’m not sure about the argument given by the author.
The difficulty of deriving \$Q\$ by the \$\Rightarrow\$-elimination rule is a problem for us, but the author claims that it is a problem for the deductive calculus. Why?

Thanks in advance for any help.

A: