“With effort, we can roll back poverty and the roadblocks to opportunity. Americans don’t accept a free ride for anybody, nor do we believe in equality of outcomes. But we do expect equal opportunity.”

2013, Remarks on Economic Mobility (December 2013)

Speech in the House of Commons (24 November 1976) http://www.margaretthatcher.org/document/103146
Leader of the Opposition
Context: The word “equality” is often used, but, wisely, rarely defined. The moment one tries to define it, one gets into great difficulty. For example, it cannot mean equality of incomes or earnings; otherwise, we would not need more than one union. Indeed, we would not need one union. If we are to have opportunity, we cannot have equality, because the two are opposite. We may have equality of opportunity, but if the only opportunity is to be equal, it is not opportunity.

Dune Genesis (1980)
Context: In the beginning I was just as ready as anyone to fall into step, to seek out the guilty and to punish the sinners, even to become a leader. Nothing, I felt, would give me more gratification than riding the steed of yellow journalism into crusade, doing the book that would right the old wrongs.
Reevaluation raised haunting questions. I now believe that evolution, or deevolution, never ends short of death, that no society has ever achieved an absolute pinnacle, that all humans are not created equal. In fact, I believe attempts to create some abstract equalization create a morass of injustices that rebound on the equalizers. Equal justice and equal opportunity are ideals we should seek, but we should recognize that humans administer the ideals and that humans do not have equal ability.

Quoted in David Barber, Helen Clark, new chief of UN Development Programme," https://archive.is/20131125142737/www.monstersandcritics.com/news/asiapacific/news/article_1467092.php/PROFILE_Helen_Clark_new_chief_of_UN_Development_Programme_"PROFILE: Asia-Pacific News (26 March 2006)

Source: Father and Child Reunion (2001), p. 197.

Address to the United Nations (1963)
Context: When we talk of the equality of man, we find, also, a challenge and an opportunity; a challenge to breathe new life into the ideals enshrined in the Charter, an opportunity to bring men closer to freedom and true equality. and thus, closer to a love of peace.
The goal of the equality of man which we seek is the antithesis of the exploitation of one people by another with which the pages of history and in particular those written of the African and Asian continents, speak at such length.
Exploitation, thus viewed, has many faces. But whatever guise it assumes, this evil is to be shunned where it does not exist and crushed where it does.

Let America Be America Again (1935)

2013, Second Inaugural Address (January 2013)
Context: This generation of Americans has been tested by crises that steeled our resolve and proved our resilience. [... ] America’s possibilities are limitless, for we possess all the qualities that this world without boundaries demands: youth and drive; diversity and openness; an endless capacity for risk and a gift for reinvention. My fellow Americans, we are made for this moment, and we will seize it -- so long as we seize it together. For we, the people, understand that our country cannot succeed when a shrinking few do very well and a growing many barely make it. We believe that America’s prosperity must rest upon the broad shoulders of a rising middle class. We know that America thrives when every person can find independence and pride in their work; when the wages of honest labor liberate families from the brink of hardship. We are true to our creed when a little girl born into the bleakest poverty knows that she has the same chance to succeed as anybody else, because she is an American; she is free, and she is equal, not just in the eyes of God but also in our own.

2015, Supreme Court Decision on Marriage Equality (June 2015)
Context: This ruling is a victory for Jim Obergefell and the other plaintiffs in the case. It's a victory for gay and lesbian couples who have fought so long for their basic civil rights. It’s a victory for their children, whose families will now be recognized as equal to any other. It’s a victory for the allies and friends and supporters who spent years, even decades, working and praying for change to come. And this ruling is a victory for America. This decision affirms what millions of Americans already believe in their hearts: When all Americans are treated as equal we are all more free.