Part 5817

<h1>Infinite</h1> <Xpage=759>

<hw>In"fi*nite</hw>, <tt>n.</tt> <p><b>1.</b> <def>That which is infinite; boundless space or duration; infinity; boundlessness.</def>

<blockquote>Not till the weight is heaved from off the air, and the thunders roll down the horizon, will the serene light of God flow upon us, and the blue <b>infinite</b> embrace us again. <i>J. Martineau.</i></blockquote>

<p><b>2.</b> <fld>(Math.)</fld> <def>An infinite quantity or magnitude.</def>

<p><b>3.</b> <def>An infinity; an incalculable or very great number.</def>

<blockquote>Glittering chains, embroidered richly o'er With <b>infinite</b> of pearls and finest gold. <i>Fanshawe.</i></blockquote>

<p><b>4.</b> <def>The Infinite Being; God; the Almighty.</def>

<h1>Infinitely</h1> <Xpage=759>

<hw>In"fi*nite*ly</hw>, <tt>adv.</tt> <p><b>1.</b> <def>Without bounds or limits; beyond or below assignable limits; <as>as, an <ex>infinitely</ex> large or <ex>infinitely</ex> small quantity</as>.</def>

<p><b>2.</b> <def>Very; exceedingly; vastly; highly; extremely.</def> "<i>Infinitely</i> pleased."

<i>Dryden.</i>

<h1>Infiniteness</h1> <Xpage=759>

<hw>In"fi*nite*ness</hw>, <tt>n.</tt> <def>The state or quality of being infinite; infinity; greatness; immensity.</def>

<i>Jer. Taylor.</i>

<h1>Infinitesimal</h1> <Xpage=759>

<hw>In`fin*i*tes"i*mal</hw> <tt>(?)</tt>, <tt>a.</tt> <ety>[Cf. F. <ets>infinit\'82simal</ets>, fr. <ets>infinit\'82sime</ets> infinitely small, fr. L. <ets>infinitus</ets>. See <er>Infinite</er>, <tt>a.</tt>]</ety> <def>Infinitely or indefinitely small; less than any assignable quantity or value; very small.</def>

<cs><col>Infinitesimal calculus</col>, <cd>the different and the integral calculus, when developed according to the method used by Leibnitz, who regarded the increments given to variables as infinitesimal.</cd></cs>

<h1>Infinitesimal</h1> <Xpage=759>

<hw>In`fin*i*tes"i*mal</hw>, <tt>n.</tt> <fld>(Math.)</fld> <def>An infinitely small quantity; that which is less than any assignable quantity.</def>

<h1>Infinitesimally</h1> <Xpage=759>

<hw>In`fin*i*tes"i*mal*ly</hw>, <tt>adv.</tt> <def>By infinitesimals; in infinitely small quantities; in an infinitesimal degree.</def>

<h1>Infinitival</h1> <Xpage=759>

<hw>In*fin`i*ti"val</hw> <tt>(?)</tt>, <tt>a.</tt> <def>Pertaining to the infinite mood.</def> "<i>Infinitival</i> stems."

<i>Fitzed. Hall.</i>

<h1>Infinitive</h1> <Xpage=759>

<hw>In*fin"i*tive</hw> <tt>(?)</tt>, <tt>n.</tt> <ety>[L. <ets>infinitivus</ets>: cf. F. <ets>infinitif</ets>. See <er>Infinite</er>.]</ety> <def>Unlimited; not bounded or restricted; undefined.</def>

<cs><col>Infinitive mood</col> <fld>(Gram.)</fld>, <cd>that form of the verb which merely names the action, and performs the office of a verbal noun. Some grammarians make two forms in English: (<stype>a<stype>) The simple form, as, <i>speak<i>, <i>go<i>, <i>hear<i>, before which <i>to<i> is commonly placed, as, <i>to speak<i>; <i>to go<i>; <i>to hear<i>. (<stype>b</stype>) The form of the imperfect participle, called the infinitive in <i>-ing<i>; as, <i>going<i> is as easy as <i>standing<i>.</cd></cs>

<note>With the auxiliary verbs <i>may</i>, <i>can</i>, <i>must</i>, <i>might</i>, <i>could</i>, <i>would</i>, and <i>should</i>, the simple infinitive is expressed without <i>to</i>; as, you <i>may speak</i>; they <i>must hear</i>, etc. The infinitive usually omits <i>to</i> with the verbs <i>let</i>, <i>dare</i>, <i>do</i>, <i>bid</i>, <i>make</i>, <i>see</i>, <i>hear</i>, <i>need</i>, etc.; as, let me <i>go</i>; you dare not <i>tell</i>; make him <i>work</i>; hear him <i>talk</i>, etc.</note>