Blockchains

Ownership on the Bitcoin blockchain is determined by a pair of cryptographic keys. The first, called the public key, resides in the blockchain for anyone to see. The second is called the private key, and its owner keeps it safe from view. The two keys have a special mathematical relationship that makes them useful for signing digital messages. Here’s how that happens: Helmut takes a message, combines it with his private key, does some calculations, and ends up with a long number. Anyone who...

 Number Scrabble: Numerical Tic-Tac-Toe

In psychological research on problem-solving, sometimes the game of Tic-Tac-Toe is employed, which, though very simple to learn and play, still offers sufficient problems to the investigator in that it is not at all clear what heuristics are used by the subjects, except avoiding the winning move of the opponent. The same is apparently true for the isomorphic game of Number Scrabble, which is based on the fact that there exists a 3 X 3 magic square, of which rows, columns, and main diagonals a...

 Characteristics of a Literacy-Building Classroom Library

• 300-600 books • Wide range of reading difficulty • Permanent “core” collection and regularly replenished “revolving” collection • Variety of genres • New books with appealing covers • Attractive, inviting setting The literature selection should include: • Traditional stories: Familiar stories that are found in every culture, including fables, folk tales, myths and legends • Fantasy: Stories that contain characters who may have superhuman powers that spark children�...

 Anthropologization

. 'Anthropologization' is the great internal threat to knowledge in our day. We are inclined to believe that man has emancipated himself from himself since his discovery that he is not at the centre of creation, nor in the middle of space, nor even, perhaps, the summit and culmination of life; but though man is no longer sovereign in the kingdom of the world, though he no longer reigns at the centre of being, the 'human sciences' are dangerous intermediaries in the space of knowledge. The tru...

 The Question of Methodology

The methodological question. In a previous book I gave a good deal of thought and analysis to the methodological importance f°r work in the human sciences of finding and formulating a first s t eP. a point of departure, a beginning principle.11 A major lesson I learned and tried to present was that there is no such thing as a merely given, or simply available, starting point: beginnings have to be made for each project in such a way as to enable what follows from them. Nowhere in my experien...

 Governments Can't Control Science

Faced with the admitted difficulty of managing the creative process, we are doubling our efforts to do so. Is this because science has failed to deliver, having given us nothing more than nuclear power, penicillin, space travel, genetic engineering, transistors, and superconductors? Or is it because governments everywhere regard as a reproach activities they cannot advantageously control? They felt that way about the marketplace for goods, but trillions of wasted dollars later, they have come...

 On Reading Chronology in Nature

I do ... humbly conceive (tho' some possibly may think there is too much notice taken of such a trivial thing as a rotten Shell, yet) that Men do generally rally too much slight and pass over without regard these Records of Antiquity which Nature have left as Monuments and Hieroglyphick Characters of preceding Transactions in the like duration or Transactions of the Body of the Earth, which are infinitely more evident and certain tokens than any thing of Antiquity that can be fetched out of C...

 Jargon Scares People Away from Science

I would have you to observe that the difficulty & mystery which often appear in matters of science & learning are only owing to the terms of art used in them, & if many gentlemen had not been rebuted by the uncouth dress in which science was offered to them, we must believe that many of these who now shew an acute & sound judgement in the affairs of life would also in science have excelled many of those who are devoted to it & who were engaged in it only by necessity &...

 The Limits of Language

The ultimate origin of the difficulty lies in the fact (or philosophical principle) that we are compelled to use the words of common language when we wish to describe a phenomenon, not by logical or mathematical analysis, but by a picture appealing to the imagination. Common language has grown by everyday experience and can never surpass these limits. Classical physics has restricted itself to the use of concepts of this kind; by analysing visible motions it has developed two ways of represen...

 Technical Terminology Raises the Bar to Entry into a Subject

The increasing technicality of the terminology employed is also a serious difficulty. It has become necessary to learn an extensive vocabulary before a book in even a limited department of science can be consulted with much profit. This change, of course, has its advantages for the initiated, in securing precision and concisement of statement; but it tends to narrow the field in which an investigator can labour, and it cannot fail to become, in the future, a serious impediment to wide inducti...