{"id":29291,"date":"2023-08-31T08:15:53","date_gmt":"2023-08-31T11:15:53","guid":{"rendered":"https:\/\/mindthegraph.com\/blog\/delve-qualitative-research-copy\/"},"modified":"2023-08-31T08:32:18","modified_gmt":"2023-08-31T11:32:18","slug":"what-is-deductive-reasoning","status":"publish","type":"post","link":"https:\/\/mindthegraph.com\/blog\/lt\/kas-yra-dedukcinis-argumentavimas\/","title":{"rendered":"Kas yra dedukcinis samprotavimas: \u012evadas \u012f login\u012f m\u0105stym\u0105"},"content":{"rendered":"<p>Dedukcinis m\u0105stymas yra pagrindin\u0117 loginio m\u0105stymo sudedamoji dalis, naudojama sprend\u017eiant problemas, priimant sprendimus ir atliekant kritin\u0119 analiz\u0119. Tai samprotavimo metodas, kai pagrindiniai principai ar prielaidos naudojamos tam tikroms i\u0161vadoms ar prognoz\u0117ms logi\u0161kai padaryti. Min\u0117tas samprotavimo b\u016bdas da\u017eniausiai naudojamas tokiuose dalykuose kaip <strong>matematika, fizika, filosofija ir teis\u0117.<\/strong>, kai reikia geb\u0117ti daryti logines i\u0161vadas.<\/p>\n\n\n\n<p>Suprasti dedukcinio m\u0105stymo principus labai svarbu ugdant loginio m\u0105stymo \u012fg\u016bd\u017eius ir sprend\u017eiant sud\u0117tingas problemas. Tai leid\u017eia mums atpa\u017einti ir \u012fvertinti pagrindines strukt\u016bras ir d\u0117sningumus, kurie valdo mus supant\u012f pasaul\u012f, ir priimti pagr\u012fstus vertinimus bei sprendimus.<\/p>\n\n\n\n<p>\u0160iame straipsnyje bus atsakyta \u012f klausim\u0105 \"Kas yra dedukcinis samprotavimas?\", kuriame i\u0161samiai ir visapusi\u0161kai supa\u017eindinama su dedukciniu samprotavimu, nagrin\u0117jamos \u012fvairios jo r\u016b\u0161ys, taisykl\u0117s ir taikymo sritys.<\/p>\n\n\n\n<h2 id=\"h-what-is-deductive-reasoning\">Kas yra dedukcinis m\u0105stymas?<\/h2>\n\n\n\n<p>Dedukcinis samprotavimas - tai loginio samprotavimo r\u016b\u0161is, kai remiantis bendraisiais principais arba prielaidomis daromos konkre\u010dios i\u0161vados.&nbsp;<\/p>\n\n\n\n<p>Jis da\u017enai painiojamas su indukciniu samprotavimu, kai i\u0161vados daromos remiantis tam tikrais steb\u0117jimais ar \u012frodymais ir gali b\u016bti teisingos arba ne, net jei \u012frodymai yra teisingi.<\/p>\n\n\n\n<p>Kita vertus, dedukcinis samprotavimas yra toks samprotavimo b\u016bdas, kai prielaid\u0173 pagr\u012fstumas u\u017etikrina i\u0161vados teisingum\u0105, jei logika yra priimtina. Kitaip tariant, tai procesas, kai i\u0161 bendros taisykl\u0117s ar teiginio i\u0161vedama konkreti i\u0161vada.&nbsp;<\/p>\n\n\n\n<p>Dedukciniame samprotavime yra dviej\u0173 tip\u0173 teiginiai: prielaidos ir i\u0161vados. Prielaidos yra bendri teiginiai, kurie laikomi teisingais, o i\u0161vada yra konkretus teiginys, kuris i\u0161vedamas i\u0161 prielaid\u0173. Dedukcinis samprotavimas apima jud\u0117jim\u0105 nuo bendr\u0173j\u0173 princip\u0173 prie konkre\u010di\u0173 i\u0161vad\u0173.<\/p>\n\n\n\n<p>Pavyzd\u017eiui, panagrin\u0117kime tok\u012f dedukcin\u012f samprotavim\u0105:<\/p>\n\n\n\n<p>1 prielaida: visos kat\u0117s yra gyv\u016bnai.<br>2 prielaida: Garfildas yra katinas.<br>I\u0161vados: Tod\u0117l Garfildas yra gyv\u016bnas.<\/p>\n\n\n\n<p>\u0160iame pavyzdyje pirmoji prielaida yra bendras teiginys apie visas kates, o antroji prielaida - konkretus teiginys apie Garfild\u0105. Remdamiesi dedukciniu samprotavimu galime daryti i\u0161vad\u0105, kad Garfildas yra gyv\u016bnas, nes jis yra kat\u0117, o visos kat\u0117s yra gyv\u016bnai.&nbsp;<\/p>\n\n\n\n<p>Matematikoje, gamtos moksluose ir filosofijoje da\u017enai naudojamas dedukcinis samprotavimas. Jis leid\u017eia logi\u0161kai ir sistemingai samprotauti, tod\u0117l yra galingas problem\u0173 sprendimo ir sprendim\u0173 pri\u0117mimo \u012frankis. Ta\u010diau svarbu atkreipti d\u0117mes\u012f \u012f tai, kad dedukcinis samprotavimas priklauso nuo prielaid\u0173 tikslumo. Jei prielaidos klaidingos arba netikslios, i\u0161vada taip pat bus klaidinga, net jei logika yra teisinga.<\/p>\n\n\n\n<h2 id=\"h-types-of-deductive-reasoning\">Dedukcinio pagrindimo tipai<\/h2>\n\n\n\n<p>Dabar, kai jau \u017einote, kas yra dedukcinis samprotavimas, svarbu \u017einoti, kad yra kelios dedukcinio samprotavimo r\u016b\u0161ys, pvz. <strong>silogizmas, modus ponens, modus tollens, hipotetinis silogizmas ir disjunkcinis silogizmas<\/strong>. Kiekvienas i\u0161 \u0161i\u0173 tip\u0173 turi unikali\u0105 strukt\u016br\u0105 ir tarnauja tam tikram tikslui loginiame samprotavime.<\/p>\n\n\n\n<h3 id=\"h-syllogism\">Silogizmas<\/h3>\n\n\n\n<p>Dedukciniame samprotavime silogizm\u0105 sudaro i\u0161vada ir dvi premisos. I\u0161vada daroma i\u0161 dviej\u0173 prielaid\u0173. Pavyzd\u017eiui:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote\">\n<p>1 prielaida: Visi \u017emon\u0117s yra mirtingi.<\/p>\n\n\n\n<p>2 prielaida: Sokratas yra \u017emogus.<\/p>\n\n\n\n<p>I\u0161vados: Tod\u0117l Sokratas yra mirtingas.<\/p>\n<\/blockquote>\n\n\n\n<h3 id=\"h-modus-ponens\">Modus ponens&nbsp;<\/h3>\n\n\n\n<p>Modus ponens - tai dedukcinio samprotavimo forma, kai patvirtinamas s\u0105lyginio teiginio antecedentas, o po to patvirtinamas konsekventas. Pavyzd\u017eiui:&nbsp;<\/p>\n\n\n\n<blockquote class=\"wp-block-quote\">\n<p>1 prielaida: jei lyja, gatv\u0117s yra \u0161lapios.<\/p>\n\n\n\n<p>2 prielaida: lyja.<\/p>\n\n\n\n<p>I\u0161vados: Tod\u0117l gatv\u0117s yra \u0161lapios.<\/p>\n<\/blockquote>\n\n\n\n<h3 id=\"h-modus-tollens\">Modus Tollens<\/h3>\n\n\n\n<p>Modus tollens - tai dedukcinio samprotavimo forma, kai i\u0161 prad\u017ei\u0173 paneigiamas antecedentas, o tada paneigiamas s\u0105lyginio teiginio padarinys. Pavyzd\u017eiui:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote\">\n<p>1 prielaida: jei lyja, gatv\u0117s yra \u0161lapios.<\/p>\n\n\n\n<p>2 prielaida: gatv\u0117s n\u0117ra \u0161lapios.<\/p>\n\n\n\n<p>I\u0161vados: Tod\u0117l nelijo.<\/p>\n<\/blockquote>\n\n\n\n<h3 id=\"h-hypothetical-syllogism\">Hipotetinis silogizmas<\/h3>\n\n\n\n<p>Hipotetinis silogizmas yra loginis argumentas, kur\u012f sudaro du s\u0105lyginiai teiginiai ir s\u0105lyginis teiginys i\u0161vadai. Pavyzd\u017eiui:&nbsp;<\/p>\n\n\n\n<blockquote class=\"wp-block-quote\">\n<p>1 prielaida: jei lyja, \u017eem\u0117 bus \u0161lapia.<\/p>\n\n\n\n<p>2 prielaida: Jei \u017eem\u0117 \u0161lapia, \u017eol\u0117 bus slidi.<\/p>\n\n\n\n<p>I\u0161vados: Tod\u0117l, jei lyja, \u017eol\u0117 bus slidi.<\/p>\n<\/blockquote>\n\n\n\n<h3 id=\"h-disjunctive-syllogism\">Disjunkcinis silogizmas<\/h3>\n\n\n\n<p>Disjunkcinis silogizmas - tai dedukcinis argumentas, kur\u012f sudaro disjunkcinis teiginys ir vieno i\u0161 disjunkt\u0173 neigimas. I\u0161vada yra kito disjunkto teiginys. Pavyzd\u017eiui:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote\">\n<p>1 prielaida: arba \u0161vie\u010dia saul\u0117, arba lyja.<\/p>\n\n\n\n<p>2 prielaida: nelijo.<\/p>\n\n\n\n<p>I\u0161vados: Tod\u0117l jis yra saul\u0117tas.<\/p>\n<\/blockquote>\n\n\n\n<h2 id=\"h-rules-of-inference\">I\u0161vad\u0173 darymo taisykl\u0117s<\/h2>\n\n\n\n<p>I\u0161vad\u0173 darymo taisykl\u0117s - tai dedukcinio samprotavimo principai, padedantys i\u0161 prielaid\u0173 rinkinio padaryti pagr\u012fstas i\u0161vadas. Toliau pateikiamos kelios gerai \u017einomos i\u0161vedimo taisykl\u0117s:<\/p>\n\n\n\n<h3 id=\"h-prominent-inference-rules\">Svarbiausios i\u0161vad\u0173 darymo taisykl\u0117s<\/h3>\n\n\n\n<p>Kaip paai\u0161kinta anks\u010diau, pagrindin\u0117s i\u0161vados taisykl\u0117s yra modus ponens, modus tollens, hipotetinis silogizmas ir disjunkcinis silogizmas. \u0160ios taisykl\u0117s leid\u017eia i\u0161 prielaid\u0173 i\u0161vesti galiojan\u010dias i\u0161vadas.<\/p>\n\n\n\n<h3 id=\"h-fallacies\">Klaidos<\/h3>\n\n\n\n<p>Neteisingos i\u0161vados gali atsirasti d\u0117l klaiding\u0173 samprotavim\u0173. Dedukcin\u0117s klaidos da\u017enai yra susijusios su \u012fvairiomis klaidomis, pavyzd\u017eiui, pasekm\u0117s tvirtinimu, prie\u0161ingos pasekm\u0117s neigimu ir dviprasmyb\u0117mis. D\u0117l \u0161i\u0173 klaid\u0173 gali atsirasti klaiding\u0173 i\u0161vad\u0173.&nbsp;<\/p>\n\n\n\n<h3 id=\"h-definitory-rules\">Apibr\u0117\u017eiamosios taisykl\u0117s<\/h3>\n\n\n\n<p>Apibr\u0117\u017eimo taisykl\u0117se nustatomos patalpose vartojam\u0173 termin\u0173 ir s\u0105vok\u0173 apibr\u0117\u017etys ir reik\u0161m\u0117s. \u0160iomis taisykl\u0117mis u\u017etikrinama, kad patalpos b\u016bt\u0173 teisingai suprastos, ir paai\u0161kinama j\u0173 prasm\u0117.<\/p>\n\n\n\n<h3 id=\"h-strategic-rules\">Strategin\u0117s taisykl\u0117s<\/h3>\n\n\n\n<p>Strategin\u0117s taisykl\u0117s - tai tinkam\u0173 dedukcini\u0173 argument\u0173 konstravimo gair\u0117s. \u0160ios taisykl\u0117s apima ai\u0161k\u0173 ir glaust\u0105 bendravim\u0105, susilaikym\u0105 nuo dviprasmi\u0161k\u0173 termin\u0173 ir posaki\u0173 vartojimo ir \u012fsitikinim\u0105, kad prielaidos yra susijusios su i\u0161vada.<\/p>\n\n\n\n<h2 id=\"h-validity-and-soundness\">Galiojimas ir patikimumas<\/h2>\n\n\n\n<p>Dedukcinis samprotavimas remiasi pagr\u012fstumo ir patikimumo id\u0117jomis, kad \u012fvertint\u0173 argument\u0173 stiprum\u0105 ir patikimum\u0105.<\/p>\n\n\n\n<p>Loginis ry\u0161ys tarp argumento prielaid\u0173 ir i\u0161vados vadinamas argumento pagr\u012fstumu. Argumentas galioja, jei i\u0161vada logi\u0161kai i\u0161plaukia i\u0161 prielaid\u0173, t. y. ne\u012fmanoma, kad prielaidos b\u016bt\u0173 teisingos, o i\u0161vada - neteisinga. Kitaip tariant, prielaid\u0173 galiojimas u\u017etikrina i\u0161vados teisingum\u0105. Ta\u010diau pagr\u012fstumas u\u017etikrina tik tai, kad i\u0161vada i\u0161plaukia, jei prielaidos yra teisingos, o ne tai, kad prielaidos i\u0161 tikr\u0173j\u0173 yra teisingos.<\/p>\n\n\n\n<p>Pavyzd\u017eiui, turint tok\u012f argument\u0105:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote\">\n<p>Pirmoji prielaida: visos kat\u0117s yra \u017einduoliai.<\/p>\n\n\n\n<p>2 prielaida: Garfildas yra katinas.<\/p>\n\n\n\n<p>I\u0161vados: Garfildas yra \u017einduolis.<\/p>\n<\/blockquote>\n\n\n\n<p>I\u0161vada turi b\u016btinai i\u0161plaukti i\u0161 prielaid\u0173, tod\u0117l \u0161is argumentas galioja. Jei prielaidos yra teisingos, tai ir i\u0161vada turi b\u016bti teisinga. Ta\u010diau argumentas neb\u016btinai yra pagr\u012fstas, nes prielaid\u0173 teisingumas n\u0117ra u\u017etikrintas. Pavyzd\u017eiui, argumentas b\u016bt\u0173 nepagr\u012fstas, jei paai\u0161k\u0117t\u0173, kad Garfildas i\u0161 tikr\u0173j\u0173 n\u0117ra katinas.<\/p>\n\n\n\n<p>Prie\u0161ingai, pagr\u012fstumas apib\u016bdina bendr\u0105 argumento kokyb\u0119, atsi\u017evelgiant ir \u012f jo pagr\u012fstum\u0105, ir \u012f jo prielaid\u0173 tikrum\u0105. Argumentas galioja ir visos jo prielaidos yra teisingos, jei jis yra pagr\u012fstas. Kitaip tariant, tvirtas argumentas yra toks, kuris logi\u0161kai i\u0161plaukia ir yra paremtas patikimais duomenimis.<\/p>\n\n\n\n<p>Panagrin\u0117kime, pavyzd\u017eiui, tok\u012f argument\u0105:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote\">\n<p>1 prielaida: Visi \u017emon\u0117s yra mirtingi.<\/p>\n\n\n\n<p>2 prielaida: Sokratas yra \u017emogus.<\/p>\n\n\n\n<p>I\u0161vados: Tod\u0117l Sokratas yra mirtingas.<\/p>\n<\/blockquote>\n\n\n\n<p>\u0160is argumentas yra ne tik pagr\u012fstas, bet ir teisingas, nes abi jo prielaidos yra teisingos. Argumentas yra logi\u0161kai pagr\u012fstas ir paremtas tiksliais duomenimis, nes prielaid\u0173 teisingumas u\u017etikrina i\u0161vados teisingum\u0105.<\/p>\n\n\n\n<p>Apibendrinant galima teigti, kad pagr\u012fstumas ir patikimumas yra esmin\u0117s dedukcinio samprotavimo s\u0105vokos, padedan\u010dios \u012fvertinti argument\u0173 stiprum\u0105 ir patikimum\u0105. Tik pagr\u012fstas argumentas yra ir logi\u0161kai tvirtas, ir paremtas patikimais duomenimis, o galiojantis argumentas garantuoja i\u0161vados teisingum\u0105, jei prielaidos yra teisingos.<\/p>\n\n\n\n<h2 id=\"h-applications-of-deductive-reasoning\">Dedukcinio m\u0105stymo taikymas<\/h2>\n\n\n\n<p>Daugelyje disciplin\u0173, \u012fskaitant gamtos mokslus, fizik\u0105, matematik\u0105, filosofij\u0105, teis\u0119 ir in\u017einerij\u0105, pla\u010diai naudojamas dedukcinis samprotavimas. Jis naudojamas hipotez\u0117ms kelti, teoremoms \u012frodyti, loginiams pavyzd\u017eiams kurti, sud\u0117tingoms sistemoms vertinti ir analizuoti, med\u017eiag\u0173 ir technologij\u0173 elgsenai prognozuoti.&nbsp;<\/p>\n\n\n\n<p>Moksliniai tyrimai, teisin\u0117 analiz\u0117, in\u017einerinis projektavimas, matematikos ir filosofijos studijos priklauso nuo dedukcinio m\u0105stymo. Jo reik\u0161m\u0117s \u017emogaus supratimui ir vystymuisi ne\u012fmanoma pervertinti, atsi\u017evelgiant \u012f jo panaudojimo \u012fvairov\u0119 ir plat\u0173 spektr\u0105.<\/p>\n\n\n\n<h2 id=\"h-find-scientific-illustrations\">Rasti mokslini\u0173 iliustracij\u0173<\/h2>\n\n\n\n<p><a href=\"https:\/\/mindthegraph.com\/\" target=\"_blank\" rel=\"noreferrer noopener\">Mind the Graph<\/a> yra internetin\u0117 platforma, kuri gali b\u016bti puikus \u0161altinis mokslininkams, ie\u0161kantiems tinkam\u0173 mokslini\u0173 iliustracij\u0173 savo moksliniams tyrimams. Naudodamiesi Mind the Graph mokslininkai gali grei\u010diau ir lengviau sukurti tiksli\u0105 ir esteti\u0161kai patraukli\u0105 mokslin\u0119 grafik\u0105, kuri gali pagerinti j\u0173 mokslini\u0173 tyrim\u0173 rezultat\u0173 perteikim\u0105.<\/p>\n\n\n\n<div style=\"height:21px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Mind the Graph patirtis | Grafin\u0117s santraukos k\u016brimas\" width=\"800\" height=\"450\" src=\"https:\/\/www.youtube.com\/embed\/GwLYcX1uo1s?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<div style=\"height:21px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"is-layout-flex wp-block-buttons\">\n<div class=\"wp-block-button aligncenter\"><a class=\"wp-block-button__link has-background wp-element-button\" href=\"https:\/\/mindthegraph.com\/\" style=\"border-radius:50px;background-color:#dc1866\" target=\"_blank\" rel=\"noreferrer noopener\">Prad\u0117kite kurti su Mind the Graph<\/a><\/div>\n<\/div>\n\n\n\n<div style=\"height:44px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>","protected":false},"excerpt":{"rendered":"<p>Kas yra dedukcinis samprotavimas? Su\u017einokite pagrindinius dalykus, \u012fskaitant apibr\u0117\u017et\u012f, skirtingus tipus ir daugyb\u0119 j\u0173 panaudojimo b\u016bd\u0173 - viskas vienoje vietoje!<\/p>","protected":false},"author":28,"featured_media":29293,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[959,28],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v19.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>What Is Deductive Reasoning: An Introduction to Logical Thinking - Mind the Graph Blog<\/title>\n<meta name=\"description\" content=\"What is deductive reasoning? 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