He pointed to Russell's paradox and the like in support of his rejection, and devised his three formal systems as a concrete alternative to set theory.

The combination of photos and texts, placed in a minimalist grid, forced a critique of assumptions about the Bowery without offering any concrete alternatives.

Ms. Samalin is one of many child experts offering parents a concrete alternative - she calls it "positive punishment."

As Washington cuts back, China is providing concrete alternatives.

He has repeatedly said that he does not favor an indefinite commitment in Iraq, but he has not offered a concrete alternative.

What he is offering so far is a critique of Mr. Bush without a concrete alternative.

"They do not have any concrete alternatives or options for the moment," Margot Wallstrom, the European Union's environment commissioner, said after today's meetings.

He welcome Mr Gummer's stance on discrimination, but urged the minister to come forward with concrete alternatives.

Instead, he has only criticized dissidents for failing to offer concrete alternatives to working with management.

He offered no concrete alternatives to the Kyoto cutbacks, however, beyond research and the gradual application of new technology.