Arithmetic Progression

A sequence is called an arithmetic progression of the first order if the differences of the successive terms are constant. It is called an arithmetic progression of the second order if the differences of the successive terms form an arithmetic progression of the first order.

In general, for k ≥ 2, a sequence is called an arithmetic progression of the k-th order if the differences of the successive terms form an arithmetic progression of the (k-1)-th order.

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Marx’s Theory of Alienation

Capitalist alienation is a Marxist notion that refers to individuals' estrangement or separation from their work, the output of their labour, and each other within the capitalist mode of production. This phenomena arises from capitalism's fundamental contradictions, which result in a system in which labour is commodified and employees are reduced to mere appendages of the means of production. Capitalist alienation happens when labour is converted into a commodity that can be bought and sold on the market just like any other commodity. As a result, the labour of the worker is separated from the product, and the worker is alienated from the outcome of their labour. Furthermore, workers are cut off from their own creative potential because their job is dictated by the necessities of the capitalist system rather than their own aspirations and interests. "The alienation of man thus appeared as the fundamental evil of capitalist society.” ― Karl Marx , Selected Writings in...

Karl Marx: On The Great Indian Revolt of 1857

Marx's observations on the Revolt of 1857 are a distinctive component to the study of modern Indian history. Marx was almost the very first to grasp the true nature of the revolt. Karl Marx wrote 31 articles about the 1857 Indian revolt from July to Oct 1857 for the American newspaper 'New York Daily Tribune (NYDT)’. Although the British called it a mutiny/uprising, Marx called 1857 'a national revolt' . When Marx began writing articles about India in the New York Times in 1853, he saw the British as India's saviours. He regarded British colonialism as a necessary evil to break Asia's sluggish economy by investing in the forces required for capitalist expansion. Marx characterized British colonization in India as the "Double Mission of the British". In the puberty, they were contributing positively by breaking down India's Asiatic mode of production, which was hampering its path to capitalism. Second, they were rejuvenating the economy in order t...

Analysis of Marx's "On the Jewish Question"

Marx's most explicit work on the subject of human rights is "On the Jewish Question" which appeared in 1844 in the "Deutsch-Französische Jahrbücher". In this article, Marx takes a polemic against the ideas of his old friend and master Bruno Bauer, who had recently turned against the battle of German Jews for full citizenship rights, as has been the situation in France since Napoleon. Bauer's criticism of the Jewish citizen's rights campaign was based on the fact that as an emancipation movement it was not radical enough, in his opinion. According to Bauer... the people are guilty of a huge mistake in disconnecting the Jewish question from the general question of the time and [they] did not consider that not only the Jews, but also we want to be emancipated." According to Bauer, the Jewish question was not settled with the offering of citizens' rights to the Jewish population since the roots of this question were very deep, notably in the (Jewish...

A Pen for Liberation

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