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# Science Fair Project Encyclopedia

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# User:AugPi

AugPi has tended to write mostly about math on WP, but sometimes dabbles into other topics.

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## wikisection

### sandbox

$\bar{u}$ &ubar;
$\dot{x} \ddot{x}$

- - -
− − −
— — —
− &minus; −
— &mdash; —
&minus; &amp;minus; &minus;
&mdash; &amp;mdash; &mdash;
∃ &exist;
$\exists$
∀ &forall;
$\forall$
$\varnothing$
⊆ &sube;
∩ &cap;
∪ &cup;
$\not \exists$ $\not \forall$ (incorrect)
$\neg \exists$ $\neg \forall$ (correct)
$1 \not = i$
$1 \not > 2$
$\in$
∈ &isin;
$\approx$
$\sqrt[4]{5}$
$\hbox{card} \mathcal{P} (S) = 2^{\hbox{card} S}$
$A \wedge B \rightarrow A$
$A \rightarrow A \vee B$
$\{C\} \subset \{C,G\}$
$(A \subseteq B \wedge B \subseteq A) \rightarrow A = B$
$(A \cap B) \subset (A \cup B)$
$P, \ P \rightarrow Q \vdash Q$
$\vdash \qquad \models$
$\theta = \vartheta$
$\phi = \varphi$
Ø &Oslash;
$\bigcup_{i \in S} A_i$
$\langle A, B, C \rangle \equiv_{Def} A \cdot B \times C$

### sandbox ii

Macrons:
ā &#257;
ē &#275;
ī &#299;
ō &#333;
ū &#363;

Table
A B C
1 2 3
! style="background:#efefef;"| Table


Logic, in its purest form, is the reasoning used to take a set of assumptions and reach a conclusion. More specifically, logic is the study of prescriptive systems of reasoning, that is, systems proposed as guides for how people (as well, perhaps, as other intelligent beings/machines/systems) ought to reason. Logic says which forms of inference are valid and which are not. Traditionally, logic is studied as a branch of philosophy, but it can also be considered a branch of mathematics and computer science. How people actually reason is usually studied under other headings, including cognitive psychology.