## Posts Tagged 'Social attitudes'

### The Citizens’ Assembly: Why do 10 Counties have no Members?

Recently, the Irish Government established the Citizens’ Assembly, a body of 99 citizens that will consider a number of constitutional issues. The Assembly meets on Saturday to continue its deliberations on the Eighth Amendment to the Constitution, which concerns the ban on abortion. It will report to the Oireachtas (Parliament) on this issue in June [TM106 or search for “thatsmaths” at irishtimes.com].

### The Mathematics of Voting

Selection of leaders by voting has a history reaching back to the Athenian democracy. Elections are essentially arithmetical exercises, but they involve more than simple counting, and have some subtle mathematical aspects [TM085, or search for “thatsmaths” at irishtimes.com].

Rock-paper-scissors, a zero-sum game. There is a cyclic relationship: rock beats paper, paper beats scissors and scissors beats rock [Image: Wikimedia Commons].

### You Can Do Maths

Bragging about mathematical ineptitude is not cool. There is nothing admirable about ignorance and incompetence. Moreover, everyone thinks mathematically all the time, even if they are not aware of it. Can we all do maths? Yes, we can!  [See this week’s That’s Maths column (TM064) or search for “thatsmaths” at irishtimes.com].

When you use a map of the underground network, you are doing topology.

### Invention or Discovery?

Is mathematics invented or discovered? As many great mathematicians have considered this question without fully resolving it, there is little likelihood that I can provide a complete answer here. But let me pose a possible answer in the form of a conjecture:

Conjecture: Definitions are invented. Theorems are discovered.

The goal is to prove this conjecture, or to refute it. Below, some arguments in support of the conjecture are presented. Continue reading ‘Invention or Discovery?’

### Beauty is the First Test

This week, That’s Maths in The Irish Times (TM048: Search for “thatsmaths” at irishtimes.com) is about the beauty of mathematics.

Indra’s Indigo, detail of patchwork quilt by textile artist Janice Gunner.

### The Future of Society: Prosperity or Collapse?

The article in this week’s That’s Maths column in the Irish Times ( TM045 ) is about a mathematical model to simulate the future of society.

Our extravagant lifestyle is draining the Earth’s natural resources. Population is climbing and climate change looms ever larger. Is the collapse of society imminent?

The historical precedents are ominous. Many civilizations have ended abruptly with drastic population reductions and centuries of oblivion. The fall of the Roman, Han, Mayan and Gupta Empires show that advanced and sophisticated civilisations can be fragile and impermanent. There are many causes, but over-consumption of resources and inequalities within society are primary.

### Population Projections

The Population Division of the United Nations marked 31 October 2011 as the “Day of Seven Billion”. While that was a publicity gambit, world population is now above this figure and climbing. The global ecosystem is seriously stressed, and climate change is greatly aggravated by the expanding population. Accurate estimates of growth are essential for assessing our future well-being. This week, That’s Maths in The Irish Times ( TM034  ) is about population growth over this century. Continue reading ‘Population Projections’