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<p>and <a href="page.php?w=empirical">empirical</a> methods, the formal sciences use language <a href="page.php?w=tools">tools</a> concerned with characterizing abstract structures described by <a href="page.php?w=formal_systems">formal systems</a> and the deductions that can be made from them. </p>

<p>The formal sciences aid the natural and social sciences by providing information about the structures used to describe the physical world, and what inferences may be made about them.</p>

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