Notes, abstracts, papers, exams and problems of Secondary education

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The Limits of Logic: From Hilbert's Formalism to the Halting Problem

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Mathematics in Crisis: Hilbert's Program

In the early 20th century, mathematics faced a crisis. The rapid development of new mathematical concepts and notations raised concerns about the foundations of mathematics. David Hilbert, a prominent mathematician, initiated a project known as Hilbert's Program to address these concerns. Hilbert's goal was to formalize all of mathematics, creating a system that was both consistent (free from contradictions) and complete (capable of proving or disproving any mathematical statement).

Reasons for Formalism:

  • The emergence of algebraic methods as a powerful language for describing mathematical abstractions.
  • The erosion of the authority of Euclidean geometry and challenges to long-held axioms.

Intentions of Formalism:

... Continue reading "The Limits of Logic: From Hilbert's Formalism to the Halting Problem" »

Overcoming Grief and Embracing Change in "Ransom" and "The Queen"

Classified in History

Written at on English with a size of 1.56 KB.

Introduction

Despite the distinctive contexts and settings of the literary text "Ransom" by David Malouf and the film "The Queen" directed by Stephen Frears, the notion of grief and its exploration is central to both. As Malouf presents us with the image of Hector's lifeless body being dragged through the sediment, we are reminded of how difficult it is to overcome grief. Indeed, past habits can heavily restrict and hinder the process of healing. Both texts delve into how grief can be overcome by connecting with others, nature, and oneself. Furthermore, both the director and author advocate that overcoming grief unlocks a wealth of benefits.

Views and Values

  • Malouf advocates that despite one's societal status, paternal duty is still valued and
... Continue reading "Overcoming Grief and Embracing Change in "Ransom" and "The Queen"" »

The Uruguayan Rugby Team: A Character Study

Classified in Medicine & Health

Written at on English with a size of 3.32 KB.

Zerbino

  • Blinded by the snow
  • Doctor of the group
  • Auxiliary to the Strauches
  • Was kind to some, but also bullied others
  • Took it upon himself to be the detective of the group
  • Very pessimistic
  • Very easy to tease

Inciarte

  • Boils
  • Goes outside to get coca cola
  • Would comfort others when sad
  • Very likable despite being a bit of a parasite

E. Strauch

  • Opposed to eating meat
  • Part of the triumvirate
  • "The German"

Parrado

  • Most determined to be expeditionary and get out
  • Is expeditionary and succeeds in the final expedition
  • Never takes advantage of others in the name of his class
  • Can't stand Roy Harley

Fito Strauch

  • Part of the triumvirate
  • In favor of eating meat

Paez

  • Fails the trial expedition; goes from a sissy lazy parasite to a hardworking respected member of the group
  • Very gruff despite
... Continue reading "The Uruguayan Rugby Team: A Character Study" »

Essential Business Compliance: Key Aspects for Success

Classified in Economy

Written at on English with a size of 4.52 KB.

Business Name - A name or title under which a person or entity conducts a business.

Business Domain - A business's website address or URL on the internet that gives you an online identity or brand. It's a valuable part of your business identity and is an important marketing tool that can help customers find and identify with your business.

Trade Practices Legislation - The business owner must comply with trade practices legislation when establishing his or her business. The Competition & Consumer Act 2010 (Cwlth) is a federal law that specifies what business behavior is acceptable in relation to a wide range of issues.

Business Tax Compliance - A means by which governments finance their expenditure by imposing charges on citizens and corporate... Continue reading "Essential Business Compliance: Key Aspects for Success" »

Accounting Terminology and Concepts

Classified in Economy

Written at on English with a size of 1.86 KB.

Accounting Terminology

Accounting Terminology

Assets: a resource with economic value that an individual, corporation, or country owns or controls with the expectation that it will provide a future benefit

Equity: the net amount of funds invested in a business by its owners, plus any retained earnings

Expenses: the cost of operations that a company incurs to generate revenue

Liabilities: a legally binding obligation payable to another entity

Revenue: the value of all sales of goods and services recognized by a company in a period

Companies

A legal entity formed by a group of individuals to engage in and operate a business enterprise in a commercial or industrial capacity

Sciences related to Accounting

Management, economics, mathematics, computer science,

... Continue reading "Accounting Terminology and Concepts" »

The Positive Impact of Healthy Eating: Jeremy's Journey

Classified in Medicine & Health

Written at on English with a size of 1.07 KB.

To stop liking those.

He also says he has learned to expect that there will be setbacks as he changes his eating habits. He accepts that things won't always go perfectly, so he doesn't get discouraged. "Just be patient with it, and be realistic with your goals."

Jeremy's friends and family noticed when he started eating healthier foods. Their support has helped motivate him to make a habit of his healthy eating changes.

"It made me feel pretty good, especially when people started making comments about noticing the changes I would make," he says. "You just feed off the positive energy."

It also helped to have friends with similar goals. They support him with his eating changes.

Take-away message

For Jeremy, there have been no drawbacks to changing... Continue reading "The Positive Impact of Healthy Eating: Jeremy's Journey" »

Camel Racing in the Gulf: From Child Jockeys to Robotic Innovations

Classified in History

Written at on English with a size of 2.04 KB.

Camel Racing in the Gulf: A History and Evolution

Origins and Popularity

Camel racing has a long-standing tradition in the Gulf States, dating back to ancient times. Traditionally, races were held to mark special occasions such as weddings and celebrations.

In the 1960s, with the influx of oil wealth, the ruling sheiks of Abu Dhabi recognized the importance of preserving this cultural heritage. To maintain its popularity, they introduced lucrative cash prizes for winning camel owners.

The Rise of Child Jockeys

As camel racing became more competitive, owners sought faster times. This led to the illegal trafficking of children from impoverished communities in South Asia and Africa to serve as jockeys.

These children faced harsh conditions: they were... Continue reading "Camel Racing in the Gulf: From Child Jockeys to Robotic Innovations" »

Wanchun: The New Social Network Taking the World by Storm

Classified in Spanish

Written at on English with a size of 1.06 KB.

Wanchun is the new fashionable social network. Released to the public just two months ago, it's already in the top three most used networks and applications.

Unlike other applications, Wanchun has tried to innovate by adding several functions that the rest do not have.

Although some say they could improve by reducing the application's size, as it takes up a lot of space, it's undoubtedly a highly recommended social network. If you like the ones you have, how could you not like Wanchun? It has the same improved functions and others that you haven't seen in any other app.

Joshua's Determination

Joshua looked at the board, where his teacher had posted the test results.

When he saw his grade, he was very worried as he didn't know if he could pass the... Continue reading "Wanchun: The New Social Network Taking the World by Storm" »

20th Century European History Overview

Classified in History

Written at on English with a size of 3.53 KB.

Germany

Weimar Republic

Economy

As the chart shows, parliamentary representation of certain groups declined as the Nazis took control of Germany and the country's economy began to deteriorate. However, from 1930, their representation began to increase, and with the establishment of capitalism, the economy improved until it collapsed (we can see a small dip in November 1932) and then recovered.

Key Events

Reichstag Fire

An arson attack on the Reichstag building on February 27, 1933, which resulted in the German parliament building burning down.

Night of the Long Knives

The night between June 30 and July 1, 1934, when Adolf Hitler, Gregor Strasser, Ernst Röhm, and Herman Göring were victims of a purge.

Night of Broken Glass

The night between November... Continue reading "20th Century European History Overview" »

Spain's 1917 Crisis & 1931 Constitution Reforms

Classified in History

Written at on English with a size of 2.29 KB.

Causes of the Crisis of 1917

As Spain benefited from exporting to other countries while workers continued to receive the same wages, a crisis formed that affected several areas:

  • Social Crisis: The socialist unions (UGT) and anarchist unions (CNT) called a general strike with the aim of overthrowing the political system of the Restoration.
  • Military Crisis: Soldiers joined organizations called Juntas de Defensa Militar and demanded higher salaries. They also called for political changes and the continuation of the war in Morocco.
  • Political Crisis: Catalans, Republicans, and Socialists met in an Assembly of Parliamentarians and tried to impose political reform. However, the assembly was dissolved by the government.

Consequences of the Crisis of 1917

The... Continue reading "Spain's 1917 Crisis & 1931 Constitution Reforms" »