Ariā Matatika Āhuatanga He maha ngā wā ka māramahia te matatika hei huinga mātāpono e āwhina ana i te tangata ki te wehewehe i waenga i ngā mahi tika me ngā mahi hē. Heoi, i roto i te oranga o ia rā, kāore ngā whakatau matatika i te rite tonu ki te "he pai tēnei" me te "he kino tēnei". He maha ngā āhuatanga e whakaatu ana i te tika o tētahi mahi i roto i tētahi āhuatanga, engari he hē i roto i tētahi atu. … Pānuitia atu
Te Ariā o te Matatika i roto i ngā Matatika Whakakore i te Tikanga Ko te matatika tētahi o ngā kaupapa matua o te rapunga whakaaro matatika, nā te mea e pā ana ki te pātai: he aha te mea e tika ai, e hē ai rānei tētahi mahi? Ko tētahi huarahi tino whai mana ki te whakautu i tēnei pātai ko ngā matatika whakakore i te tikanga. Kāore i rite ki ngā huarahi e aromatawai ana i te matatika i runga i ngā hua, e whakanui ana ngā matatika whakakore i te tikanga ko te matatika te mea nui... Pānuitia atu
Te Tikanga o te Nihilism E ai ki a Nietzsche Ko te nihilism tētahi o ngā kupu matua rongonui i roto i te rapunga whakaaro a Friedrich Nietzsche. Heoi, he maha ngā wā ka hē te whakamaoritanga o tēnei kupu, arā, ko te "whakapono ki te kore mea," "he koretake te ora," "he whakaaetia rānei tetahi mea nā te mea kāore he tikanga tika." Ki a Nietzsche, ehara te nihilism i te whakaaro pōuri whaiaro noa iho, engari he āhuatanga whānui ake i roto i te ahurea o te Hauāuru: he āhuatanga hītori i te wā... Pānuitia atu
Ko Kant me te Ariā Ataahua o te Ataahua Ko Immanuel Kant (1724–1804) tētahi o ngā tohunga whakaaro whai mana nui i roto i te hītori o te whakaaro o te Hauāuru. E mōhiotia whānuitia ana ia mō āna mahi nui i roto i te epistemology me ngā tikanga matatika, engari ko āna takoha ki te ataahua—ina koa ko tana ariā mō te ataahua—he rite tonu te hiranga. I roto i tana Critique of Judgment (1790), i whakatakoto a Kant i tētahi anga ataahua e ngana ana ki te… Pānuitia atu
Te Ariā o te Oranga E ai ki a Heidegger Ko Martin Heidegger (1889–1976) tētahi o ngā tohunga whakaaro whai mana o te rautau 20, inā koa nā roto i tana mahi Sein und Zeit (Te Oranga me te Wā, 1927). I roto i tēnei pukapuka, i pātai a Heidegger he aha te pātai i whakaarohia e ia ko te pātai tino taketake engari kua warewarehia i roto i te hītori o te rapunga whakaaro o te Hauāuru: he aha te tikanga o te "oranga" me te "noho" (Te Oranga/Sein)? He rerekē i te tikanga matatika… Pānuitia atu
Te Ariā o te Oranga E ai ki a Heidegger Ko Martin Heidegger (1889–1976) tētahi o ngā tohunga whakaaro whai mana o te rautau 20, inā koa nā roto i tana mahi Sein und Zeit (Te Oranga me te Wā, 1927). I roto i tēnei pukapuka, i pātai a Heidegger he aha te pātai i whakaarohia e ia ko te pātai tino taketake engari kua warewarehia i roto i te hītori o te rapunga whakaaro o te Hauāuru: he aha te tikanga o te "oranga" me te "noho" (Te Oranga/Sein)? He rerekē i te tikanga matatika… Pānuitia atu
Te Ariā o ngā Tikanga Matatika E ai ki a Al-Farabi Ko Al-Farabi (i mate i te tau 950 CE) tētahi o ngā tohunga whakaaro nui o te ao Ihirama tawhito, e kiia ana ko te "Kaiako Tuarua" i muri i a Aristotle. E whakaatu ana tēnei īngoa karanga i te awe kaha o te whakaaro Kariki—ina koa ko te arorau me te rapunga whakaaro mahi—i roto i āna mahi. Heoi, kāore a Al-Farabi i tārua noa i a Aristotle, i a Plato rānei; i whakamāramahia e ia, i whakawhanakehia hoki ō rāua whakaaro i roto i tētahi anga e tika ana mō... Pānuitia atu
Te Arotakenga a Nietzsche mō te Matatika Ko Friedrich Nietzsche tētahi o ngā tohunga whakaaro whai mana, ā, he tautohenga nui hoki i roto i te hītori o te whakaaro hou. E mōhiotia ana ia mō tana arotakenga pakari i ngā pūtake o te matatika o te Hauāuru—ina koa ko te matatika Karaitiana me te taonga tuku iho o te rapunga whakaaro matatika e whakanui ana i te kawenga, te ōritetanga, me te whakahaere i a ia anō hei ngā tikanga tino pai. Ki a Nietzsche, ko te matatika matua i roto i a Ūropi hou ehara i te mea… Pānuitia atu
Te Whakapono me ngā Ariā o te Pono Ko te whakapono tētahi o ngā kura rapunga whakaaro tino whai mana i roto i te tikanga whakaaro hou, inā koa i te Hononga o Amerika. Ehara tana arotahi matua i te rapu i te pono hei mea "parakore" me te wehe atu i te ora, engari ko te āhua o te mahi a ngā whakaaro i roto i te wheako tangata. I roto i te whakapono, ka whakamatautauria te uara o tētahi whakaaro mā ōna hua mahi: mēnā he āwhina... Pānuitia atu
Te Ariā o te Pono i roto i te Epistemology Whakataki Ko te epistemology he peka o te rapunga whakaaro e matapaki ana i te mātauranga: he aha te mātauranga, me pēhea te whiwhi, ōna rohe, me te whānuitanga e taea ai te whakamana. I roto i te epistemology, he tūranga nui te matapakinga o te pono, nā te mea e māramahia whānuitia ana te mātauranga he whakapono pono me te whakamana. Heoi, ko te pātai "he aha te pono?" ehara i te... Pānuitia atu