Conjectures And Counterexamples Quotes & Sayings

Mathematics is about problems, and problems must be made the focus of a student's mathematical life. Painful and creatively frustrating as it may be, students and their teachers should at all times be engaged in the process - having ideas, not having ideas, discovering patterns, making conjectures, constructing examples and counterexamples, devising arguments, and critiquing each other's work. — Paul Lockhart

The lights of some people precede their dhikr, while the dhikr of some people precede their lights. There is the one who does (loud) dhikr so that his heart be illumined; and there is the one whose heart has been illumined and he does (silent) dhikr. — Ibn Ata Allah

As I noted to my colleagues in the Roberts' hearings, in a year between 80 percent to 90 percent of the children in America diagnosed with Down's Syndrome will be killed in the womb simply because they have a positive genetic test which can be wrong, and is often wrong, but they would have a positive genetic test for Down's Syndrome and they will be killed.America is poorer because of such a policy. — Sam Brownback

I could have argued that her wanting to do something for me meant she was ultimately acting in her own interests, but it might provoke more of the 'don't fuck with me' behaviour. — Graeme Simsion

Parents who always whisper the word "sex" unintentionally tell their kids, "I don't want to talk about this. Get your answers elsewhere. — Michael Rittenhouse

This job certainly doesn't win you a huge amount of friends, I accept that, but it is very enjoyable, and deep down I think it's probably quite a worthwhile job. — Ian Hislop

Trying will do anything in this world. — Theocritus

Olivia imagined a D-day-style invasion of the island, gardeners with saws and shovels parachuting out of the sky and storming the beaches - and were being liberated from the thorny or flowery embrace of climbing vines, deratted, reroofed, fixed up, and condoized. Her apartment — Neal Stephenson

I am who I am, I am Korwahk, I am warrior, I am Dax and you must accept me as what I am. I may have forced my body on yours but I did not force your love, you gave it to me knowing who I am. As we live our lives, you cannot decide to disagree with parts of that and then decide to take your love away, Circe. I'll not live like that. Therefore, you need to reflect on this, come to your peace with it and never, my golden queen, never request another such concession from me. — Kristen Ashley

They gaze at each other for a while, down here on the barroom floor of history, feeling sucker-punched, no clear way to get up and on with a day which is suddenly full of holes
family, friends, friends of friends, phone numbers on the Rolodex, just not there anymore ... the bleak feeling, some mornings, that the country itself may not be there anymore, but being silently replaced screen by screen with something else, some surprise package, by those who've kept their wits about them and their clicking thumbs ready. — Thomas Pynchon